516030464 has 72 divisors (see below), whose sum is σ = 1073737728. Its totient is φ = 247726080.

The previous prime is 516030451. The next prime is 516030479. The reversal of 516030464 is 464030615.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4063169 + ... + 4063295.

It is an arithmetic number, because the mean of its divisors is an integer number (14913024).

Almost surely, 2^516030464 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 516030464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536868864).

516030464 is an abundant number, since it is smaller than the sum of its proper divisors (557707264).

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

516030464 is an frugal number, since it uses more digits than its factorization.

516030464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 516030464 is about 22716.3039247145. The cubic root of 516030464 is about 802.0937156631.

The spelling of 516030464 in words is "five hundred sixteen million, thirty thousand, four hundred sixty-four".