518793984 has 180 divisors, whose sum is σ = 1567044864. Its totient is φ = 170698752.

The previous prime is 518793973. The next prime is 518794007. The reversal of 518793984 is 489397815.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 518793984.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2633374 + ... + 2633570.

Almost surely, 2^518793984 is an apocalyptic number.

518793984 is a gapful number since it is divisible by the number (54) 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 518793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783522432).

518793984 is an abundant number, since it is smaller than the sum of its proper divisors (1048250880).

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

518793984 is a wasteful number, since it uses less digits than its factorization.

518793984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 329 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 518793984 is about 22777.0495016365. The cubic root of 518793984 is about 803.5229961819.

The spelling of 518793984 in words is "five hundred eighteen million, seven hundred ninety-three thousand, nine hundred eighty-four".