564435352 has 64 divisors (see below), whose sum is σ = 1217260800. Its totient is φ = 243371520.

The previous prime is 564435349. The next prime is 564435373. The reversal of 564435352 is 253534465.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90478 + ... + 96514.

It is an arithmetic number, because the mean of its divisors is an integer number (19019700).

Almost surely, 2^564435352 is an apocalyptic number.

564435352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564435352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608630400).

564435352 is an abundant number, since it is smaller than the sum of its proper divisors (652825448).

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

564435352 is a wasteful number, since it uses less digits than its factorization.

564435352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6116 (or 6112 counting only the distinct ones).

The product of its digits is 216000, while the sum is 37.

The square root of 564435352 is about 23757.8482190623. The cubic root of 564435352 is about 826.4274531866.

The spelling of 564435352 in words is "five hundred sixty-four million, four hundred thirty-five thousand, three hundred fifty-two".