Of course the tag "Air Force One" is a radio callsign and despite what the media say, it does not belong to a particular aircraft. It's used by any USAF aircraft carrying the POTUS. Likewise when he travels by USMC chopper it uses "Marine One".
Most air arms use either the aircraft tail number (increasingly unusual) or more commonly, a mission/flight number which does not indicate the particular aircraft's identity on ATC frequencies.