564520320 has 512 divisors, whose sum is σ = 2467584000. Its totient is φ = 118775808.

The previous prime is 564520277. The next prime is 564520373. The reversal of 564520320 is 23025465.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572301 + ... + 1572659.

It is an arithmetic number, because the mean of its divisors is an integer number (4819500).

Almost surely, 2^564520320 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 564520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233792000).

564520320 is an abundant number, since it is smaller than the sum of its proper divisors (1903063680).

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

564520320 is a wasteful number, since it uses less digits than its factorization.

564520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 564520320 is about 23759.6363608537. The cubic root of 564520320 is about 826.4689202117.

Adding to 564520320 its reverse (23025465), we get a palindrome (587545785).

The spelling of 564520320 in words is "five hundred sixty-four million, five hundred twenty thousand, three hundred twenty".