518944320 has 140 divisors (see below), whose sum is σ = 1846068444. Its totient is φ = 138378240.

The previous prime is 518944319. The next prime is 518944367. The reversal of 518944320 is 23449815.

It can be written as a sum of positive squares in 2 ways, for example, as 88962624 + 429981696 = 9432^2 + 20736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 15910 + ... + 35930.

Almost surely, 2^518944320 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 518944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923034222).

518944320 is an abundant number, since it is smaller than the sum of its proper divisors (1327124124).

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

518944320 is a wasteful number, since it uses less digits than its factorization.

518944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20050 (or 20031 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 518944320 is about 22780.3494266440. The cubic root of 518944320 is about 803.6006035884.

The spelling of 518944320 in words is "five hundred eighteen million, nine hundred forty-four thousand, three hundred twenty".