56264400 has 90 divisors (see below), whose sum is σ = 195265590. Its totient is φ = 15002880.

The previous prime is 56264399. The next prime is 56264401. The reversal of 56264400 is 446265.

It is a happy number.

56264400 is a `hidden beast` number, since 562 + 64 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56264399) and next prime (56264401).

It can be written as a sum of positive squares in 3 ways, for example, as 19395216 + 36869184 = 4404^2 + 6072^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56264401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4215 + ... + 11414.

Almost surely, 2^56264400 is an apocalyptic number.

56264400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56264400 is an abundant number, since it is smaller than the sum of its proper divisors (139001190).

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

56264400 is a wasteful number, since it uses less digits than its factorization.

56264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15653 (or 15639 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 56264400 is about 7500.9599385679. The cubic root of 56264400 is about 383.1874092762.

The spelling of 56264400 in words is "fifty-six million, two hundred sixty-four thousand, four hundred".