352800564 has 12 divisors (see below), whose sum is σ = 823201344. Its totient is φ = 117600184.

The previous prime is 352800563. The next prime is 352800571. The reversal of 352800564 is 465008253.

352800564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352800563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14700012 + ... + 14700035.

It is an arithmetic number, because the mean of its divisors is an integer number (68600112).

Almost surely, 2^352800564 is an apocalyptic number.

It is an amenable number.

352800564 is an abundant number, since it is smaller than the sum of its proper divisors (470400780).

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

352800564 is a wasteful number, since it uses less digits than its factorization.

352800564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29400054 (or 29400052 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 352800564 is about 18782.9860245915. The cubic root of 352800564 is about 706.6045401457.

The spelling of 352800564 in words is "three hundred fifty-two million, eight hundred thousand, five hundred sixty-four".