264985920 has 84 divisors (see below), whose sum is σ = 911451060. Its totient is φ = 70662144.

The previous prime is 264985907. The next prime is 264985927. The reversal of 264985920 is 29589462.

It can be written as a sum of positive squares in 2 ways, for example, as 102576384 + 162409536 = 10128^2 + 12744^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264985927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43125 + ... + 48884.

Almost surely, 2^264985920 is an apocalyptic number.

264985920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264985920 is an abundant number, since it is smaller than the sum of its proper divisors (646465140).

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

264985920 is a wasteful number, since it uses less digits than its factorization.

264985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92032 (or 92019 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 264985920 is about 16278.3881265929. The cubic root of 264985920 is about 642.3044527971.

The spelling of 264985920 in words is "two hundred sixty-four million, nine hundred eighty-five thousand, nine hundred twenty".