518449920 has 288 divisors, whose sum is σ = 1761600960. Its totient is φ = 129761280.

The previous prime is 518449891. The next prime is 518449927. The reversal of 518449920 is 29944815.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (518449927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5825236 + ... + 5825324.

It is an arithmetic number, because the mean of its divisors is an integer number (6116670).

Almost surely, 2^518449920 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 518449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880800480).

518449920 is an abundant number, since it is smaller than the sum of its proper divisors (1243151040).

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

518449920 is a wasteful number, since it uses less digits than its factorization.

518449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 518449920 is about 22769.4953830778. The cubic root of 518449920 is about 803.3453248364.

The spelling of 518449920 in words is "five hundred eighteen million, four hundred forty-nine thousand, nine hundred twenty".