Rightmove is also seeing evidence that house price growth in London is no longer being driven by the wealthy "prime central" boroughs.
London's worst-performing borough in March was named as Kensington and Chelsea, where asking prices had dropped by 2.4% on the previous month.
But the average price tag for a home in the borough was still £2.1 million.
The English capital's best-performing borough was found to be Haringey, where prices had surged by 9.5% month-on-month to reach £597,634 typically.
Westminster and Camden, where average asking prices were above £1 million, were also among Rightmove's worst-performing areas in London in March, while Barnet and Hounslow, where prices were around £600,000-plus, were among the best.
The Independent on Sunday has reported that the north London council at the centre of recent tragedies has launched yet another serious case review involving child abuse.
It comes after the council promised to protect children after the deaths of Baby Peter and Victoria Climbe.
The latest investigation is the council's sixth known investigation into serious incidents of child abuse since the report into Baby Peter's death was published in 2009.
A spokeswoman for Haringey Council said: "We have made a number of improvements to children's services in the past few years. We would not comment on serious case reviews that may be under way in Haringey."
The paper says two adults have been arrested and charged with child abuse, whilst the child alleged to be the victim of abuse has been taken into care.
The news comes after it was revealed on Tuesday that Haringey's former head of children's care services had agreed a compensation pay-out after being unfairly dismissed in the wake of the Baby P tragedy.
The new investigation has reportedly started only a month after the publication of Haringey's last serious case review into Child T, a three-year-old who was beaten so badly with a belt, stick and cable that he was hospitalised yet was still returned to the family home, where the abuse continued.
There's been widespread anger over the decision to award a six-figure pay off to the former head of Harginey's Children's Services, who was in charge when Baby Peter Connelly died.
In 2008 the then Children's Secretary Ed Balls removed Sharon Shoesmith from her job because of failings in her department. It was later ruled that decision amounted to unfair dismissal and led to her seeking compensation. Dan Hewitt reports.
Following the decision of the Court of Appeal in favour of Ms Shoesmith, and the Court's direction that the parties seek to resolve the issue of compensation, the London Borough of Haringey and Ms Shoesmith have reached a settlement in this case.
The terms of the settlement are confidential. We are unable to comment further on this matter.
Time Loughton, the Conservative former children's minister, told the BBC Radio 4 Today programme that Sharon Shoesmith's payout was "effectively rewarding failure".
When you are appointed a director of children's services - this is the whole point of the reforms after Victoria Climbie, which again happened in Haringey - is that the buck has to stop somewhere and someone has to take responsibility.
You don't expect that person accepting responsibility, reluctantly in this case, to get a very large cheque on the back of it as well.
Former child protection boss Sharon Shoesmith is set to receive a six-figure payout for being unfairly dismissed following the Baby P tragedy, according to BBC 2's Newsnight.
A settlement which could reach up to £600,000 has been agreed, although Ms Shoesmith may receive a lower sum, the programme reported, stating that some of the money will come from central Government.
Ed Balls, while Education Secretary, removed Ms Shoesmith from her £133,000-a-year post as Haringey Council's director of children's services after a damning report on the death of Peter Connolly, known as Baby P.
She was then fired by the north London council without compensation in December 2008, after a report from regulator Ofsted exposed how her department had failed to protect 17-month-old boy.
Haringey Council has apologised after failing to prevent the abuse of a toddler who suffered "extensive injuries" at the hands of his family, following the Baby P and Victoria Climbie cases.
Council leader Claire Kober said: "We fully accept the findings of this SCR and apologise unreservedly for the failings set out in the report. Together with partner agencies, we could and should have intervened more swiftly.
"This case occurred during a period of rebuilding in our children's service. We have been working hard over the past three years to make significant improvements, which have been recognised by Ofsted".