264725952 has 112 divisors (see below), whose sum is σ = 737567232. Its totient is φ = 83635200.

The previous prime is 264725939. The next prime is 264725963. The reversal of 264725952 is 259527462.

Its product of digits (302400) is a multiple of the sum of its prime divisors (576).

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, 666618 + ... + 667014.

Almost surely, 2^264725952 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 264725952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368783616).

264725952 is an abundant number, since it is smaller than the sum of its proper divisors (472841280).

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

264725952 is a wasteful number, since it uses less digits than its factorization.

264725952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 264725952 is about 16270.4011013865. The cubic root of 264725952 is about 642.0943369296.

The spelling of 264725952 in words is "two hundred sixty-four million, seven hundred twenty-five thousand, nine hundred fifty-two".