264866400 has 108 divisors (see below), whose sum is σ = 934010532. Its totient is φ = 70629120.

The previous prime is 264866383. The next prime is 264866417. The reversal of 264866400 is 4668462.

It is a happy number.

264866400 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 6 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (264866383) and next prime (264866417).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 11194 + ... + 25593.

Almost surely, 2^264866400 is an apocalyptic number.

264866400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264866400 is an abundant number, since it is smaller than the sum of its proper divisors (669144132).

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

264866400 is a wasteful number, since it uses less digits than its factorization.

264866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36813 (or 36797 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 264866400 is about 16274.7165873941. The cubic root of 264866400 is about 642.2078693345.

The spelling of 264866400 in words is "two hundred sixty-four million, eight hundred sixty-six thousand, four hundred".