264795520 has 128 divisors (see below), whose sum is σ = 714938400. Its totient is φ = 92897280.

The previous prime is 264795497. The next prime is 264795523. The reversal of 264795520 is 25597462.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264795523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203512 + ... + 204808.

Almost surely, 2^264795520 is an apocalyptic number.

264795520 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 264795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357469200).

264795520 is an abundant number, since it is smaller than the sum of its proper divisors (450142880).

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

264795520 is a wasteful number, since it uses less digits than its factorization.

264795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 264795520 is about 16272.5388308033. The cubic root of 264795520 is about 642.1505778663.

The spelling of 264795520 in words is "two hundred sixty-four million, seven hundred ninety-five thousand, five hundred twenty".