313408 has 28 divisors (see below), whose sum is σ = 640080. Its totient is φ = 152192.

The previous prime is 313399. The next prime is 313409. The reversal of 313408 is 804313.

It is not an unprimeable number, because it can be changed into a prime (313409) by changing a digit.

313408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3735 + ... + 3817.

It is an arithmetic number, because the mean of its divisors is an integer number (22860).

2³¹³⁴⁰⁸ 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 313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320040).

313408 is an abundant number, since it is smaller than the sum of its proper divisors (326672).

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

313408 is an equidigital number, since it uses as much as digits as its factorization.

313408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 313408 is about 559.8285451815. The cubic root of 313408 is about 67.9261019590.

The spelling of 313408 in words is "three hundred thirteen thousand, four hundred eight".