564720552 has 384 divisors, whose sum is σ = 1930521600. Its totient is φ = 152064000.

The previous prime is 564720503. The next prime is 564720571. The reversal of 564720552 is 255027465.

564720552 is a `hidden beast` number, since 5 + 647 + 2 + 0 + 5 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13773652 + ... + 13773692.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2^564720552 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 564720552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965260800).

564720552 is an abundant number, since it is smaller than the sum of its proper divisors (1365801048).

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

564720552 is a wasteful number, since it uses less digits than its factorization.

564720552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 564720552 is about 23763.8496881292. The cubic root of 564720552 is about 826.5666231979.

The spelling of 564720552 in words is "five hundred sixty-four million, seven hundred twenty thousand, five hundred fifty-two".