564874560 has 560 divisors, whose sum is σ = 2242352640. Its totient is φ = 134369280.

The previous prime is 564874559. The next prime is 564874561. The reversal of 564874560 is 65478465.

564874560 is a `hidden beast` number, since 5 + 6 + 4 + 87 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (564874559) and next prime (564874561).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564874561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15266862 + ... + 15266898.

Almost surely, 2^564874560 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 564874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121176320).

564874560 is an abundant number, since it is smaller than the sum of its proper divisors (1677478080).

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

564874560 is a wasteful number, since it uses less digits than its factorization.

564874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 564874560 is about 23767.0898513049. The cubic root of 564874560 is about 826.6417555217.

It can be divided in two parts, 5648 and 74560, that added together give a palindrome (80208).

The spelling of 564874560 in words is "five hundred sixty-four million, eight hundred seventy-four thousand, five hundred sixty".