516338496 has 112 divisors (see below), whose sum is σ = 1553464000. Its totient is φ = 168086016.

The previous prime is 516338489. The next prime is 516338521. The reversal of 516338496 is 694833615.

516338496 is a `hidden beast` number, since 5 + 1 + 633 + 8 + 4 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70830 + ... + 77778.

Almost surely, 2^516338496 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 516338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776732000).

516338496 is an abundant number, since it is smaller than the sum of its proper divisors (1037125504).

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

516338496 is a wasteful number, since it uses less digits than its factorization.

516338496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013 (or 6997 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 516338496 is about 22723.0828894321. The cubic root of 516338496 is about 802.2532807819.

The spelling of 516338496 in words is "five hundred sixteen million, three hundred thirty-eight thousand, four hundred ninety-six".