564973840 has 120 divisors (see below), whose sum is σ = 1410534720. Its totient is φ = 210042624.

The previous prime is 564973819. The next prime is 564973841. The reversal of 564973840 is 48379465.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (564973841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4064491 + ... + 4064629.

It is an arithmetic number, because the mean of its divisors is an integer number (11754456).

Almost surely, 2^564973840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564973840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705267360).

564973840 is an abundant number, since it is smaller than the sum of its proper divisors (845560880).

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

564973840 is a wasteful number, since it uses less digits than its factorization.

564973840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 564973840 is about 23769.1783619039. The cubic root of 564973840 is about 826.6901817221.

The spelling of 564973840 in words is "five hundred sixty-four million, nine hundred seventy-three thousand, eight hundred forty".