368800400 has 60 divisors (see below), whose sum is σ = 924589632. Its totient is φ = 141102720.

The previous prime is 368800391. The next prime is 368800427. The reversal of 368800400 is 4008863.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10844 + ... + 29243.

Almost surely, 2^368800400 is an apocalyptic number.

It is an amenable number.

368800400 is an abundant number, since it is smaller than the sum of its proper divisors (555789232).

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

368800400 is a wasteful number, since it uses less digits than its factorization.

368800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40128 (or 40117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 368800400 is about 19204.1766290565. The cubic root of 368800400 is about 717.1287399311.

The spelling of 368800400 in words is "three hundred sixty-eight million, eight hundred thousand, four hundred".