518332416 has 224 divisors, whose sum is σ = 1660843008. Its totient is φ = 140574720.

The previous prime is 518332411. The next prime is 518332417. The reversal of 518332416 is 614233815.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (518332411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3956671 + ... + 3956801.

Almost surely, 2^518332416 is an apocalyptic number.

518332416 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 518332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830421504).

518332416 is an abundant number, since it is smaller than the sum of its proper divisors (1142510592).

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

518332416 is a wasteful number, since it uses less digits than its factorization.

518332416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 166 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 518332416 is about 22766.9149425213. The cubic root of 518332416 is about 803.2846288928.

The spelling of 518332416 in words is "five hundred eighteen million, three hundred thirty-two thousand, four hundred sixteen".