516731904 has 264 divisors, whose sum is σ = 1698846240. Its totient is φ = 149962752.

The previous prime is 516731879. The next prime is 516731921. The reversal of 516731904 is 409137615.

It is a super-2 number, since 2×516731904² = 534023721222930432, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2276239 + ... + 2276465.

Almost surely, 2^516731904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516731904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849423120).

516731904 is an abundant number, since it is smaller than the sum of its proper divisors (1182114336).

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

516731904 is a wasteful number, since it uses less digits than its factorization.

516731904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 516731904 is about 22731.7378130226. The cubic root of 516731904 is about 802.4569796719.

The spelling of 516731904 in words is "five hundred sixteen million, seven hundred thirty-one thousand, nine hundred four".