516830964 has 48 divisors (see below), whose sum is σ = 1300185600. Its totient is φ = 158843520.

The previous prime is 516830933. The next prime is 516830971. The reversal of 516830964 is 469038615.

It is a super-2 number, since 2×516830964² = 534228490698338592, which contains 22 as substring.

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, 214237 + ... + 216635.

It is an arithmetic number, because the mean of its divisors is an integer number (27087200).

Almost surely, 2^516830964 is an apocalyptic number.

It is an amenable number.

516830964 is an abundant number, since it is smaller than the sum of its proper divisors (783354636).

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

516830964 is a wasteful number, since it uses less digits than its factorization.

516830964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 516830964 is about 22733.9166005332. The cubic root of 516830964 is about 802.5082546875.

The spelling of 516830964 in words is "five hundred sixteen million, eight hundred thirty thousand, nine hundred sixty-four".