264215952 has 480 divisors, whose sum is σ = 1045647360. Its totient is φ = 62000640.

The previous prime is 264215947. The next prime is 264215977. The reversal of 264215952 is 259512462.

264215952 is a `hidden beast` number, since 2 + 64 + 2 + 1 + 595 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (43200) is a multiple of the sum of its prime factors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5621593 + ... + 5621639.

It is an arithmetic number, because the mean of its divisors is an integer number (2178432).

Almost surely, 2^264215952 is an apocalyptic number.

264215952 is a gapful number since it is divisible by the number (22) 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 264215952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522823680).

264215952 is an abundant number, since it is smaller than the sum of its proper divisors (781431408).

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

264215952 is a wasteful number, since it uses less digits than its factorization.

264215952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 264215952 is about 16254.7209142452. The cubic root of 264215952 is about 641.6817358654.

The spelling of 264215952 in words is "two hundred sixty-four million, two hundred fifteen thousand, nine hundred fifty-two".