For a distribution panel rated at 400 amps parallel runs of 3/0 conductors will do the job.
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Depends on the size of the sub-panel in that garage. If you are installing a 60 amp sub-panel 400 feet away from the main service panel then use AWG # 4.
The type would be a three phase panelboard. If you are carrying the wye neutral into the service, then it would be a three phase four wire distribution panelboard. Regardless of the style used, it would have to have a minimum 400 amp bus.
You need to look at the regulations that apply in your country. If in doubt, use a neutral wire of the same size as the live wire or wires.
Use AWG # 4 copper and you will have a 2.6% voltage drop which is acceptible.
1/0 <<>> This is a voltage drop question. A voltage and whether it is a single or three phase system must be provided to give an answer.