516459216 has 320 divisors, whose sum is σ = 1777664000. Its totient is φ = 128024064.

The previous prime is 516459211. The next prime is 516459217. The reversal of 516459216 is 612954615.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516459211) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4066545 + ... + 4066671.

It is an arithmetic number, because the mean of its divisors is an integer number (5555200).

Almost surely, 2^516459216 is an apocalyptic number.

516459216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516459216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888832000).

516459216 is an abundant number, since it is smaller than the sum of its proper divisors (1261204784).

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

516459216 is a wasteful number, since it uses less digits than its factorization.

516459216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 516459216 is about 22725.7390638896. The cubic root of 516459216 is about 802.3157982132.

The spelling of 516459216 in words is "five hundred sixteen million, four hundred fifty-nine thousand, two hundred sixteen".