264201952 has 48 divisors (see below), whose sum is σ = 597542400. Its totient is φ = 112641408.

The previous prime is 264201937. The next prime is 264201997. The reversal of 264201952 is 259102462.

It is a super-2 number, since 2×264201952² = 139605342881220608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41613 + ... + 47539.

It is an arithmetic number, because the mean of its divisors is an integer number (12448800).

Almost surely, 2^264201952 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 264201952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298771200).

264201952 is an abundant number, since it is smaller than the sum of its proper divisors (333340448).

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

264201952 is a wasteful number, since it uses less digits than its factorization.

264201952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6143 (or 6135 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 264201952 is about 16254.2902644194. The cubic root of 264201952 is about 641.6704020772.

The spelling of 264201952 in words is "two hundred sixty-four million, two hundred one thousand, nine hundred fifty-two".