316408320 has 240 divisors, whose sum is σ = 1133713152. Its totient is φ = 81469440.

The previous prime is 316408307. The next prime is 316408331. The reversal of 316408320 is 23804613.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×316408320² = 200228449930444800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714019 + ... + 714461.

Almost surely, 2^316408320 is an apocalyptic number.

316408320 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 316408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566856576).

316408320 is an abundant number, since it is smaller than the sum of its proper divisors (817304832).

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

316408320 is a wasteful number, since it uses less digits than its factorization.

316408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 316408320 is about 17787.8700242609. The cubic root of 316408320 is about 681.4217083097.

The spelling of 316408320 in words is "three hundred sixteen million, four hundred eight thousand, three hundred twenty".