516316416 has 144 divisors (see below), whose sum is σ = 1713427968. Its totient is φ = 134092800.

The previous prime is 516316387. The next prime is 516316417. The reversal of 516316416 is 614613615.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516316417) 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 15 ways as a sum of consecutive naturals, for example, 54771 + ... + 63501.

Almost surely, 2^516316416 is an apocalyptic number.

516316416 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 516316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856713984).

516316416 is an abundant number, since it is smaller than the sum of its proper divisors (1197111552).

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

516316416 is a wasteful number, since it uses less digits than its factorization.

516316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8768 (or 8754 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 516316416 is about 22722.5970346701. The cubic root of 516316416 is about 802.2418451280.

The spelling of 516316416 in words is "five hundred sixteen million, three hundred sixteen thousand, four hundred sixteen".