313226496 has 216 divisors, whose sum is σ = 1044598464. Its totient is φ = 89210880.

The previous prime is 313226467. The next prime is 313226509. The reversal of 313226496 is 694622313.

313226496 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 2 + 649 + 6 = 666.

It is a super-2 number, since 2×313226496² = 196221675592876032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 313226496.

It is a congruent number.

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, 430485 + ... + 431211.

It is an arithmetic number, because the mean of its divisors is an integer number (4836104).

Almost surely, 2^313226496 is an apocalyptic number.

313226496 is a gapful number since it is divisible by the number (36) 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 313226496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522299232).

313226496 is an abundant number, since it is smaller than the sum of its proper divisors (731371968).

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

313226496 is a wasteful number, since it uses less digits than its factorization.

313226496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 760 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 313226496 is about 17698.2060107797. The cubic root of 313226496 is about 679.1298674396.

The spelling of 313226496 in words is "three hundred thirteen million, two hundred twenty-six thousand, four hundred ninety-six".