Say, I can confirm that this HP Deskjet Ink Advantage 4615 is working via USB cable as I am able to use it on an XP computer.
Now I am trying to install it on a Windows 7 64-bit machine and does not detect printer when inserting USB cable. However it does detect my external USB flash drive - that's how I know that the ports are working fine.
I believe that one should un-install HP software and try re-installing - please send me links if necessary to this.
There are some installations of the HP printer that are already installed - and this printer which I am trying to detect is displaying amongst the other printers previously installed.