5264288400 has 120 divisors (see below), whose sum is σ = 19272339904. Its totient is φ = 1203264000.

The previous prime is 5264288383. The next prime is 5264288413. The reversal of 5264288400 is 48824625.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304951 + ... + 321750.

Almost surely, 2^5264288400 is an apocalyptic number.

5264288400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5264288400 is an abundant number, since it is smaller than the sum of its proper divisors (14008051504).

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

5264288400 is a wasteful number, since it uses less digits than its factorization.

5264288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626729 (or 626718 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 5264288400 is about 72555.4160624829. The cubic root of 5264288400 is about 1739.5886198827.

The spelling of 5264288400 in words is "five billion, two hundred sixty-four million, two hundred eighty-eight thousand, four hundred".