318300320 has 96 divisors (see below), whose sum is σ = 816470928. Its totient is φ = 116563968.

The previous prime is 318300287. The next prime is 318300347. The reversal of 318300320 is 23003813.

It can be written as a sum of positive squares in 8 ways, for example, as 23697424 + 294602896 = 4868^2 + 17164^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 318300292 and 318300301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284402 + ... + 285518.

Almost surely, 2^318300320 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 318300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408235464).

318300320 is an abundant number, since it is smaller than the sum of its proper divisors (498170608).

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

318300320 is a wasteful number, since it uses less digits than its factorization.

318300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 318300320 is about 17840.9730676328. The cubic root of 318300320 is about 682.7772232716. Note that the first 3 decimals are identical.

The spelling of 318300320 in words is "three hundred eighteen million, three hundred thousand, three hundred twenty".