564426560 has 112 divisors (see below), whose sum is σ = 1382572800. Its totient is φ = 219408384.

The previous prime is 564426553. The next prime is 564426563. The reversal of 564426560 is 65624465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564426563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2098106 + ... + 2098374.

It is an arithmetic number, because the mean of its divisors is an integer number (12344400).

Almost surely, 2^564426560 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 564426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691286400).

564426560 is an abundant number, since it is smaller than the sum of its proper divisors (818146240).

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

564426560 is a wasteful number, since it uses less digits than its factorization.

564426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 564426560 is about 23757.6631847495. The cubic root of 564426560 is about 826.4231621798.

The spelling of 564426560 in words is "five hundred sixty-four million, four hundred twenty-six thousand, five hundred sixty".