The system can engage all types of aerial targets including aircraft, unmanned aerial vehicles (UAV), and ballistic and cruise missiles within the range of 400km, at an altitude of up to 30km. The system can simultaneously engage 36 targets.
Looking for publicly available data on the S-400 system produces the following:
48N6E3 missile: 250 km maximum range, unknown maximum altitude, 2.0 km/s missile velocity, 4,800 m/s maximum target velocity.
40N6 missile: 400 km maximum range, 185 km maximum altitude, unknown missile velocity, unknown maximum target velocity.
And comparing that to publicly available data for the SM-3 system:
SM-3 Block IA/IB: 700 km maximum range, 500 km maximum altitude, 3.0 km/s missile velocity, unknown maximum target velocity (but likely to be at least 10,000 m/s, given interception of a satellite at just over that velocity in 2008).
SM-3 Block IIA: 2,500 km maximum range, 1,500 km maximum altitude, 4.5 km/s missile velocity, unknown maximum target velocity.
It appears the S-400 system is inferior in anti-ballistic missile capabilities to the SM-3, and as the SM-3 Block IA/IB is not capable of intercepting ICBMs (only the Block IIA has that capability), it appears the S-400 is not capable of intercepting ICBMs either.
It is likely the S-400 is limited to intercepting cruise missiles, SRBMs and MRBMs with a ¡®maybe¡¯ for IRBMs.