516172320 has 216 divisors, whose sum is σ = 1824971148. Its totient is φ = 132848640.

The previous prime is 516172303. The next prime is 516172331. The reversal of 516172320 is 23271615.

It is a happy number.

516172320 is a `hidden beast` number, since 5 + 1 + 617 + 23 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 514926864 + 1245456 = 22692^2 + 1116^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1383654 + ... + 1384026.

Almost surely, 2^516172320 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 516172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912485574).

516172320 is an abundant number, since it is smaller than the sum of its proper divisors (1308798828).

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

516172320 is a wasteful number, since it uses less digits than its factorization.

516172320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 516172320 is about 22719.4260490885. The cubic root of 516172320 is about 802.1672070488.

The spelling of 516172320 in words is "five hundred sixteen million, one hundred seventy-two thousand, three hundred twenty".