264276400 has 60 divisors (see below), whose sum is σ = 645392224. Its totient is φ = 103968000.

The previous prime is 264276367. The next prime is 264276421. The reversal of 264276400 is 4672462.

264276400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 18985 + ... + 29815.

Almost surely, 2^264276400 is an apocalyptic number.

264276400 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 264276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322696112).

264276400 is an abundant number, since it is smaller than the sum of its proper divisors (381115824).

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

264276400 is a wasteful number, since it uses less digits than its factorization.

264276400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10910 (or 10899 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 264276400 is about 16256.5802061811. The cubic root of 264276400 is about 641.7306673293.

The spelling of 264276400 in words is "two hundred sixty-four million, two hundred seventy-six thousand, four hundred".