Yeah, they don't make NMO mounts that accept LMR-400 directly. If you really wanted to use LMR-400, you can get NMO mounts that have a female N connector on the bottom and you just screw in your own coaxial cable.
But as was said by others, LMR-400 is way, way, way overkill for a mobile install, and you'll have a hard time routing it. The performance gains you'd see by using a larger cable like that would be minimal over that length, and you'd lose much of what you did gain in all the connectors you'd need. You'd be spending a lot of extra money and a lot of headaches trying to route that cable and end up with no benefit.
You can get NMO mounts with different cable types and different lengths. LMR-240, as suggested by bharvey is a really good solution. It's stiff on it's own, but not impossible to route, the LMR-240 flex stuff will have a tiny bit more loss, but much easier to run.