Can 360 download things while it's turned off?

I know that PS3 can download things like patches and updates while it's turned off, as long as it's still connected to the net.

Can 360 do that too?

yes, theres a setting that allows so, the little green,O- thing blinks to indicate so.

yeah, it's been around since early 2006.

background downloading is what it's called.

Thats not exactly turned off... Thats just in sort of a standby/sleep mode of some sort.

No, if you unplug your Xbox 360 it cannot receive data.