518349456 has 100 divisors (see below), whose sum is σ = 1525906800. Its totient is φ = 169829568.

The previous prime is 518349449. The next prime is 518349467. The reversal of 518349456 is 654943815.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73075 + ... + 79853.

It is an arithmetic number, because the mean of its divisors is an integer number (15259068).

Almost surely, 2^518349456 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 518349456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762953400).

518349456 is an abundant number, since it is smaller than the sum of its proper divisors (1007557344).

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

518349456 is a wasteful number, since it uses less digits than its factorization.

518349456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6858 (or 6843 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 518349456 is about 22767.2891666970. The cubic root of 518349456 is about 803.2934313650.

The spelling of 518349456 in words is "five hundred eighteen million, three hundred forty-nine thousand, four hundred fifty-six".