56952400 has 30 divisors (see below), whose sum is σ = 136829102. Its totient is φ = 22780800.

The previous prime is 56952383. The next prime is 56952449. The reversal of 56952400 is 425965.

It can be written as a sum of positive squares in 3 ways, for example, as 3779136 + 53173264 = 1944^2 + 7292^2 .

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, 70791 + ... + 71590.

Almost surely, 2^56952400 is an apocalyptic number.

56952400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56952400 is an abundant number, since it is smaller than the sum of its proper divisors (79876702).

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

56952400 is a wasteful number, since it uses less digits than its factorization.

56952400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142399 (or 142388 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 56952400 is about 7546.6813898561. The cubic root of 56952400 is about 384.7429554257.

The spelling of 56952400 in words is "fifty-six million, nine hundred fifty-two thousand, four hundred".