413313456 has 80 divisors (see below), whose sum is σ = 1104929280. Its totient is φ = 133040640.

The previous prime is 413313431. The next prime is 413313521. The reversal of 413313456 is 654313314.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201685 + ... + 203723.

It is an arithmetic number, because the mean of its divisors is an integer number (13811616).

Almost surely, 2^413313456 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 413313456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552464640).

413313456 is an abundant number, since it is smaller than the sum of its proper divisors (691615824).

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

413313456 is a wasteful number, since it uses less digits than its factorization.

413313456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2188 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 413313456 is about 20330.1120508471. The cubic root of 413313456 is about 744.8917795449.

The spelling of 413313456 in words is "four hundred thirteen million, three hundred thirteen thousand, four hundred fifty-six".