564705792 has 360 divisors, whose sum is σ = 1973943972. Its totient is φ = 154828800.

The previous prime is 564705787. The next prime is 564705793. The reversal of 564705792 is 297507465.

564705792 is a `hidden beast` number, since 5 + 6 + 4 + 70 + 579 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 392990976 + 171714816 = 19824^2 + 13104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564705793) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9257442 + ... + 9257502.

Almost surely, 2^564705792 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 564705792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986971986).

564705792 is an abundant number, since it is smaller than the sum of its proper divisors (1409238180).

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

564705792 is a wasteful number, since it uses less digits than its factorization.

564705792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 564705792 is about 23763.5391303568. The cubic root of 564705792 is about 826.5594218605.

The spelling of 564705792 in words is "five hundred sixty-four million, seven hundred five thousand, seven hundred ninety-two".