313814424 has 192 divisors, whose sum is σ = 1054892160. Its totient is φ = 76661760.

The previous prime is 313814381. The next prime is 313814429. The reversal of 313814424 is 424418313.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 313814391 and 313814400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313814429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219199 + ... + 220625.

It is an arithmetic number, because the mean of its divisors is an integer number (5494230).

Almost surely, 2^313814424 is an apocalyptic number.

313814424 is a gapful number since it is divisible by the number (34) 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 313814424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527446080).

313814424 is an abundant number, since it is smaller than the sum of its proper divisors (741077736).

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

313814424 is a wasteful number, since it uses less digits than its factorization.

313814424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1467 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 313814424 is about 17714.8080429905. The cubic root of 313814424 is about 679.5545121332.

The spelling of 313814424 in words is "three hundred thirteen million, eight hundred fourteen thousand, four hundred twenty-four".