516736416 has 48 divisors (see below), whose sum is σ = 1550211264. Its totient is φ = 147638784.

The previous prime is 516736411. The next prime is 516736417. The reversal of 516736416 is 614637615.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (516736411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383805 + ... + 385148.

It is an arithmetic number, because the mean of its divisors is an integer number (32296068).

Almost surely, 2^516736416 is an apocalyptic number.

516736416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

516736416 is an abundant number, since it is smaller than the sum of its proper divisors (1033474848).

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

516736416 is a wasteful number, since it uses less digits than its factorization.

516736416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768973 (or 768965 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 516736416 is about 22731.8370573080. The cubic root of 516736416 is about 802.4593152965.

The spelling of 516736416 in words is "five hundred sixteen million, seven hundred thirty-six thousand, four hundred sixteen".