318468240 has 160 divisors (see below), whose sum is σ = 1120642560. Its totient is φ = 83091456.

The previous prime is 318468221. The next prime is 318468263. The reversal of 318468240 is 42864813.

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

It is a junction number, because it is equal to n+sod(n) for n = 318468195 and 318468204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99952 + ... + 103088.

It is an arithmetic number, because the mean of its divisors is an integer number (7004016).

Almost surely, 2^318468240 is an apocalyptic number.

318468240 is a gapful number since it is divisible by the number (30) 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 318468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560321280).

318468240 is an abundant number, since it is smaller than the sum of its proper divisors (802174320).

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

318468240 is a wasteful number, since it uses less digits than its factorization.

318468240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 318468240 is about 17845.6784684696. The cubic root of 318468240 is about 682.8972690150.

The spelling of 318468240 in words is "three hundred eighteen million, four hundred sixty-eight thousand, two hundred forty".