313497408 has 112 divisors (see below), whose sum is σ = 1003791744. Its totient is φ = 84295680.

The previous prime is 313497319. The next prime is 313497409. The reversal of 313497408 is 804794313.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313497409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15988 + ... + 29708.

Almost surely, 2^313497408 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 313497408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501895872).

313497408 is an abundant number, since it is smaller than the sum of its proper divisors (690294336).

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

313497408 is a wasteful number, since it uses less digits than its factorization.

313497408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13760 (or 13750 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 313497408 is about 17705.8580136632. The cubic root of 313497408 is about 679.3256058965.

The spelling of 313497408 in words is "three hundred thirteen million, four hundred ninety-seven thousand, four hundred eight".