You asked
What is 500mm f4 on canon aps c in full frame?
500mm on APS-C (Canon) gives the view of 800mm on full frame. For the same depth of field, f/4 there behaves like about f/6.4 on full frame. Exposure doesn't change: f/4 gives the same brightness on any sensor.
The same view on every common format:
- Medium format (44 x 33): 1013mm at about f/8.1 for the same depth of field
- Full frame: 800mm at about f/6.4 for the same depth of field
- APS-C: 533mm at about f/4.3 for the same depth of field
- APS-C (Canon) (yours): 500mm at about f/4 for the same depth of field
- Micro Four Thirds: 400mm at about f/3.2 for the same depth of field
- 1-inch: 296mm at about f/2.4 for the same depth of field
- 1/1.3-inch: 222mm at about f/1.8 for the same depth of field
- 1/1.7-inch: 174mm at about f/1.4 for the same depth of field
- 1/2.3-inch: 143mm at about f/1.1 for the same depth of field
Crop factors are by the sensor diagonal, rounded as they're usually quoted; a format with a different shape (4:3 against 3:2) frames a little differently across the width. More in the focal length converter.
Computed from the sensor sizes, not written by a model.