456564400 has 60 divisors (see below), whose sum is σ = 1134748800. Its totient is φ = 176323840.

The previous prime is 456564391. The next prime is 456564401. The reversal of 456564400 is 4465654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456564401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8080 + ... + 31279.

It is an arithmetic number, because the mean of its divisors is an integer number (18912480).

Almost surely, 2^456564400 is an apocalyptic number.

456564400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456564400 is an abundant number, since it is smaller than the sum of its proper divisors (678184400).

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

456564400 is a wasteful number, since it uses less digits than its factorization.

456564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39406 (or 39395 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 456564400 is about 21367.3676432077. The cubic root of 456564400 is about 770.0176529376.

The spelling of 456564400 in words is "four hundred fifty-six million, five hundred sixty-four thousand, four hundred".