216358400 has 60 divisors (see below), whose sum is σ = 536076552. Its totient is φ = 86538240.

The previous prime is 216358397. The next prime is 216358423. The reversal of 216358400 is 4853612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4349 + ... + 21251.

Almost surely, 2^216358400 is an apocalyptic number.

216358400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268038276).

216358400 is an abundant number, since it is smaller than the sum of its proper divisors (319718152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

216358400 is an equidigital number, since it uses as much as digits as its factorization.

216358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16931 (or 16910 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 216358400 is about 14709.1264186559. The cubic root of 216358400 is about 600.3316684781.

The spelling of 216358400 in words is "two hundred sixteen million, three hundred fifty-eight thousand, four hundred".