317408 has 48 divisors (see below), whose sum is σ = 776160. Its totient is φ = 124416.

The previous prime is 317399. The next prime is 317411. The reversal of 317408 is 804713.

It is a happy number.

317408 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

317408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2858 + ... + 2966.

It is an arithmetic number, because the mean of its divisors is an integer number (16170).

2³¹⁷⁴⁰⁸ 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 317408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388080).

317408 is an abundant number, since it is smaller than the sum of its proper divisors (458752).

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

317408 is a wasteful number, since it uses less digits than its factorization.

317408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 317408 is about 563.3897407657. The cubic root of 317408 is about 68.2138595798.

The spelling of 317408 in words is "three hundred seventeen thousand, four hundred eight".