The is the way I would consider it:
Judging from the minimum of information provided you have a 480V delta-240v delta/120 step down transformer. I will be marked with H1, H2 and H3 for the 480v connections and the secondary is a 240v delta with a center tap on one side of the delta. It will be marked with X1, X2, X3, and X4. The X1, X2, and X3 form the delta and the X4 is a center tap between the X1 and X2.
This transformer could be used to step up a 240v L-L-L source by connecting it to X1, X2, and X3 with no connections required to the X4. The 240v is then stepped up to 480v at H1, H2, and H3.
Remember that you have (3) issues though:
!) This is a 480v delta where there is no neutral point and as such a 480Y/277 is not possible.
2) The only means of grounding a 480v delta is to corner ground it. Any ground fault will be 480v to ground.
3) One would expect the inrush current that is requited to magnetize the core to be proportionate, Whether the transformer is feed from the HV or LV side but it isn't.
In a step down transformer the HV coil is wound on the outside of the LV coil and away from the core itself. Remember that the taps are located on the outside HV coil with the LV coil next to the core the inrush is much greater. If the inrush is 10x the transformers HV rated current when energizing a step down transformer the inrush will be greater than 10x the transformers LV current rating should the transformer be applied as a step up which can be quite a challenge when applying an OCPD.
A LV (600v) transformer that is properly designed as a step up transformer will have the LV coil wound on the outside of the HV coil and the taps located there. Since the LV coil is farther away from the core, the magnetizing current inrush will also be less. Also, a good transformer design will also add more iron to the core to reduce flux density will also reduced inrush.
Steps up transformers are somewhat more expensive to build that their step down counterparts.