264906400 has 72 divisors (see below), whose sum is σ = 705517344. Its totient is φ = 96326400.

The previous prime is 264906391. The next prime is 264906419. The reversal of 264906400 is 4609462.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6252 + ... + 23851.

It is an arithmetic number, because the mean of its divisors is an integer number (9798852).

Almost surely, 2^264906400 is an apocalyptic number.

264906400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264906400 is an abundant number, since it is smaller than the sum of its proper divisors (440610944).

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

264906400 is a wasteful number, since it uses less digits than its factorization.

264906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30134 (or 30121 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 264906400 is about 16275.9454410489. The cubic root of 264906400 is about 642.2401963514.

The spelling of 264906400 in words is "two hundred sixty-four million, nine hundred six thousand, four hundred".