564600456 has 80 divisors (see below), whose sum is σ = 1807333440. Its totient is φ = 161313120.

The previous prime is 564600451. The next prime is 564600457. The reversal of 564600456 is 654006465.

It is a happy number.

564600456 is a `hidden beast` number, since 5 + 6 + 4 + 600 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 564600456.

It is not an unprimeable number, because it can be changed into a prime (564600451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57700 + ... + 66771.

It is an arithmetic number, because the mean of its divisors is an integer number (22591668).

Almost surely, 2^564600456 is an apocalyptic number.

564600456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

564600456 is an abundant number, since it is smaller than the sum of its proper divisors (1242732984).

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

564600456 is a wasteful number, since it uses less digits than its factorization.

564600456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124496 (or 124483 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 564600456 is about 23761.3226904564. The cubic root of 564600456 is about 826.5080252580.

The spelling of 564600456 in words is "five hundred sixty-four million, six hundred thousand, four hundred fifty-six".