516363792 has 160 divisors (see below), whose sum is σ = 1590969600. Its totient is φ = 141195264.

The previous prime is 516363787. The next prime is 516363803. The reversal of 516363792 is 297363615.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1919434 + ... + 1919702.

It is an arithmetic number, because the mean of its divisors is an integer number (9943560).

Almost surely, 2^516363792 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 516363792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795484800).

516363792 is an abundant number, since it is smaller than the sum of its proper divisors (1074605808).

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

516363792 is a wasteful number, since it uses less digits than its factorization.

516363792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its digits is 204120, while the sum is 42.

The square root of 516363792 is about 22723.6394972284. The cubic root of 516363792 is about 802.2663816629.

The spelling of 516363792 in words is "five hundred sixteen million, three hundred sixty-three thousand, seven hundred ninety-two".