56396400 has 60 divisors (see below), whose sum is σ = 180660312. Its totient is φ = 15038720.

The previous prime is 56396393. The next prime is 56396411. The reversal of 56396400 is 469365.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

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, 22299 + ... + 24698.

Almost surely, 2^56396400 is an apocalyptic number.

56396400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56396400 is an abundant number, since it is smaller than the sum of its proper divisors (124263912).

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

56396400 is a wasteful number, since it uses less digits than its factorization.

56396400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47018 (or 47007 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 56396400 is about 7509.7536577440. The cubic root of 56396400 is about 383.4868362333.

The spelling of 56396400 in words is "fifty-six million, three hundred ninety-six thousand, four hundred".