264660400 has 60 divisors (see below), whose sum is σ = 642240144. Its totient is φ = 104800000.

The previous prime is 264660397. The next prime is 264660427. The reversal of 264660400 is 4066462.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37125 + ... + 43675.

Almost surely, 2^264660400 is an apocalyptic number.

264660400 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 264660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321120072).

264660400 is an abundant number, since it is smaller than the sum of its proper divisors (377579744).

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

264660400 is a wasteful number, since it uses less digits than its factorization.

264660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6670 (or 6659 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 264660400 is about 16268.3865211028. The cubic root of 264660400 is about 642.0413336353.

The spelling of 264660400 in words is "two hundred sixty-four million, six hundred sixty thousand, four hundred".