318336480 has 720 divisors, whose sum is σ = 1459956960. Its totient is φ = 63866880.

The previous prime is 318336479. The next prime is 318336521. The reversal of 318336480 is 84633813.

It is a happy number.

318336480 is a `hidden beast` number, since 3 + 1 + 8 + 3 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×318336480² = 202676228997580800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10977106 + ... + 10977134.

It is an arithmetic number, because the mean of its divisors is an integer number (2027718).

Almost surely, 2^318336480 is an apocalyptic number.

318336480 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 318336480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729978480).

318336480 is an abundant number, since it is smaller than the sum of its proper divisors (1141620480).

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

318336480 is a wasteful number, since it uses less digits than its factorization.

318336480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 318336480 is about 17841.9864364930. The cubic root of 318336480 is about 682.8030775650.

The spelling of 318336480 in words is "three hundred eighteen million, three hundred thirty-six thousand, four hundred eighty".