56465600 has 42 divisors (see below), whose sum is σ = 138944604. Its totient is φ = 22585600.

The previous prime is 56465593. The next prime is 56465609. The reversal of 56465600 is 656465.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (56465609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16046 + ... + 19245.

Almost surely, 2^56465600 is an apocalyptic number.

56465600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56465600 is an abundant number, since it is smaller than the sum of its proper divisors (82479004).

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

56465600 is a wasteful number, since it uses less digits than its factorization.

56465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35313 (or 35298 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 56465600 is about 7514.3595868178. The cubic root of 56465600 is about 383.6436219055.

The spelling of 56465600 in words is "fifty-six million, four hundred sixty-five thousand, six hundred".