If the 360 box isn’t responding to the remote, use the power switch on the back of the 360 box. If this doesn't work, unplug the 360 box from the power supply, wait 20 seconds, and plug it back in.
Still not working? If it feels hot it may have overheated. Make sure there are no other devices on top of the 360 box, turn it off and wait until it feels cool to touch before trying again.