264873960 has 96 divisors (see below), whose sum is σ = 927075240. Its totient is φ = 65198592.

The previous prime is 264873893. The next prime is 264873967. The reversal of 264873960 is 69378462.

It can be written as a sum of positive squares in 4 ways, for example, as 131194116 + 133679844 = 11454^2 + 11562^2 .

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

It is not an unprimeable number, because it can be changed into a prime (264873967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23619 + ... + 32978.

Almost surely, 2^264873960 is an apocalyptic number.

264873960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264873960 is an abundant number, since it is smaller than the sum of its proper divisors (662201280).

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

264873960 is a wasteful number, since it uses less digits than its factorization.

264873960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56627 (or 56620 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 264873960 is about 16274.9488478459. The cubic root of 264873960 is about 642.2139793902.

The spelling of 264873960 in words is "two hundred sixty-four million, eight hundred seventy-three thousand, nine hundred sixty".