564085452 has 96 divisors (see below), whose sum is σ = 1615936000. Its totient is φ = 152663616.

The previous prime is 564085451. The next prime is 564085453. The reversal of 564085452 is 254580465.

It is an interprime number because it is at equal distance from previous prime (564085451) and next prime (564085453).

It is a self number, because there is not a number n which added to its sum of digits gives 564085452.

It is not an unprimeable number, because it can be changed into a prime (564085451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74598 + ... + 81810.

Almost surely, 2^564085452 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 564085452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807968000).

564085452 is an abundant number, since it is smaller than the sum of its proper divisors (1051850548).

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

564085452 is a wasteful number, since it uses less digits than its factorization.

564085452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7260 (or 7244 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The square root of 564085452 is about 23750.4831950847. The cubic root of 564085452 is about 826.2566472428.

The spelling of 564085452 in words is "five hundred sixty-four million, eighty-five thousand, four hundred fifty-two".