516459132 has 96 divisors (see below), whose sum is σ = 1579683840. Its totient is φ = 142793280.

The previous prime is 516459127. The next prime is 516459187. The reversal of 516459132 is 231954615.

516459132 is a `hidden beast` number, since 5 + 1 + 64 + 591 + 3 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 12418 + ... + 34454.

It is an arithmetic number, because the mean of its divisors is an integer number (16455040).

Almost surely, 2^516459132 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 516459132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789841920).

516459132 is an abundant number, since it is smaller than the sum of its proper divisors (1063224708).

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

516459132 is a wasteful number, since it uses less digits than its factorization.

516459132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22088 (or 22080 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 516459132 is about 22725.7372157649. The cubic root of 516459132 is about 802.3157547154.

The spelling of 516459132 in words is "five hundred sixteen million, four hundred fifty-nine thousand, one hundred thirty-two".