516397024 has 72 divisors (see below), whose sum is σ = 1203559560. Its totient is φ = 216648960.

The previous prime is 516397003. The next prime is 516397031. The reversal of 516397024 is 420793615.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45207 + ... + 55465.

It is an arithmetic number, because the mean of its divisors is an integer number (16716105).

Almost surely, 2^516397024 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 516397024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601779780).

516397024 is an abundant number, since it is smaller than the sum of its proper divisors (687162536).

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

516397024 is a wasteful number, since it uses less digits than its factorization.

516397024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10304 (or 10285 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 516397024 is about 22724.3707063584. The cubic root of 516397024 is about 802.2835919740.

The spelling of 516397024 in words is "five hundred sixteen million, three hundred ninety-seven thousand, twenty-four".