564894720 has 528 divisors, whose sum is σ = 2253206592. Its totient is φ = 129761280.

The previous prime is 564894713. The next prime is 564894731. The reversal of 564894720 is 27498465.

It is a happy number.

564894720 is a `hidden beast` number, since 564 + 89 + 4 + 7 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13777900 + ... + 13777940.

Almost surely, 2^564894720 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 564894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126603296).

564894720 is an abundant number, since it is smaller than the sum of its proper divisors (1688311872).

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

564894720 is a wasteful number, since it uses less digits than its factorization.

564894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 564894720 is about 23767.5139633913. The cubic root of 564894720 is about 826.6515895042.

The spelling of 564894720 in words is "five hundred sixty-four million, eight hundred ninety-four thousand, seven hundred twenty".