516472800 has 72 divisors (see below), whose sum is σ = 1681126776. Its totient is φ = 137725440.

The previous prime is 516472793. The next prime is 516472811. The reversal of 516472800 is 8274615.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105199 + ... + 109998.

It is an arithmetic number, because the mean of its divisors is an integer number (23348983).

Almost surely, 2^516472800 is an apocalyptic number.

516472800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

516472800 is an abundant number, since it is smaller than the sum of its proper divisors (1164653976).

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

516472800 is a wasteful number, since it uses less digits than its factorization.

516472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215220 (or 215207 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 516472800 is about 22726.0379300924. The cubic root of 516472800 is about 802.3228323680.

The spelling of 516472800 in words is "five hundred sixteen million, four hundred seventy-two thousand, eight hundred".