That's in the center. It's easily 1000$ for just a single room there... Things are a tiny bit different further out of the city (where it becomes affordable).
It's also prudent to point out that quite a few of the cheaper areas in London are not places you'd really want to be emigrating to, and suffer from destitution, gangs and violent crime. My place in Guildford was £1000 per month, but should have realistically been around £1300. A room in a house shared with other people is…