264505920 has 168 divisors, whose sum is σ = 977091264. Its totient is φ = 60447744.

The previous prime is 264505903. The next prime is 264505939. The reversal of 264505920 is 29505462.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44229 + ... + 49851.

Almost surely, 2^264505920 is an apocalyptic number.

264505920 is a gapful number since it is divisible by the number (20) 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 264505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488545632).

264505920 is an abundant number, since it is smaller than the sum of its proper divisors (712585344).

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

264505920 is a wasteful number, since it uses less digits than its factorization.

264505920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5657 (or 5640 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 264505920 is about 16263.6379694089. The cubic root of 264505920 is about 641.9163913208.

The spelling of 264505920 in words is "two hundred sixty-four million, five hundred five thousand, nine hundred twenty".