264712900 has 27 divisors (see below), whose sum is σ = 574780269. Its totient is φ = 105820080.

The previous prime is 264712871. The next prime is 264712909. The reversal of 264712900 is 9217462.

The square root of 264712900 is 16270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 95296644 + 169416256 = 9762^2 + 13016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264712909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 161887 + ... + 163513.

Almost surely, 2^264712900 is an apocalyptic number.

264712900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

264712900 is the 16270-th square number.

It is an amenable number.

264712900 is an abundant number, since it is smaller than the sum of its proper divisors (310067369).

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

264712900 is an equidigital number, since it uses as much as digits as its factorization.

264712900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The cubic root of 264712900 is about 642.0837841889.

The spelling of 264712900 in words is "two hundred sixty-four million, seven hundred twelve thousand, nine hundred".