Known locally as Millionaires’ Row, the Western Esplanade cul-de-sac of 11 white Art Deco houses with private beaches at the end of Hove promenade is a real-life version of the TV comedy Stella Street.

The sitcom featured impressionists playing celebrities such as Michael Caine and Keith Richards living as neighbours.

But put the rubbish out here in Hove and you could be saying good morning to Oscar and Grammy award-winning singer Adele, Little Britain comedian and novelist David Walliams, DJ Norman Cook and his Strictly Come Dancing wife Zoe Ball, and former EastEnders and Heartbeat star Nick Berry.

In previous years you might have been greeted by Paul McCartney, his then wife Heather Mills, or even by partying guests such as Frank Sinatra and Ava Gardner.

The homes were built between 1909 and 1910 by developer Michael Paget Baxter when overcrowding on British beaches in their heyday meant that a home with a private beach was the last word in luxury.

And that still seems to be true. With celebrities occupying six of the properties - Cook and his wife have three, two for them and one for relatives - that leaves just five other houses. And in a rare event, one of those has just come on the market, for a guide price of £4 million.

Approached from the back, the cul-de-sac does not look anything special, tucked away behind the warehouses of the working port of Shoreham. But sitting in the lounge of Malcolm Vanden Burg’s splendid home on a sunny day, with the sea seemingly lapping at the floor-to-ceiling windows, you could be in Miami or Malibu.

The whole of the back of the house is glass on the ground and first floors.

Decking stretches on to the beach, and there is a hot tub.

‘Bringing the sea into the house was the aim,’ says Malcolm, a retired Harley Street doctor. ‘Bizarrely, the former owners didn’t make use of the sea views. So I opened up the back and put the terrace in and the balcony upstairs.

‘Now, when you walk in the front door you can see the sea from everywhere. It took a year but it was well worth it. It still takes my breath away every time I come home.

‘And sitting outside on the terrace with a fish barbecue with the sound system on full is just perfect. I’ve had a lot of impromptu parties.’

Malcolm, in his 60s and the father of four grown-up children, bought the four-bedroom house in 2010 after moving from London, where he had seen Adele perform at the Roundhouse in what he describes as his favourite gig of all time. So when the singer moved in to the cul-de-sac, he was ‘starstruck’.

‘She has this lovely little dog and, in the summer, when all the doors are open, the dog wanders into my house and Adele comes round to find it. She’s completely normal and everyone here is very pleasant and we all get on well,’ says Malcolm.