56294400 has 132 divisors (see below), whose sum is σ = 186309752. Its totient is φ = 14991360.

The previous prime is 56294389. The next prime is 56294417. The reversal of 56294400 is 449265.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 76434 + ... + 77166.

Almost surely, 2^56294400 is an apocalyptic number.

56294400 is a gapful number since it is divisible by the number (50) 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 56294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93154876).

56294400 is an abundant number, since it is smaller than the sum of its proper divisors (130015352).

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

56294400 is a wasteful number, since it uses less digits than its factorization.

56294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 56294400 is about 7502.9594161237. The cubic root of 56294400 is about 383.2555019467.

The spelling of 56294400 in words is "fifty-six million, two hundred ninety-four thousand, four hundred".