413431308 has 72 divisors (see below), whose sum is σ = 1091497680. Its totient is φ = 131779200.

The previous prime is 413431307. The next prime is 413431423. The reversal of 413431308 is 803134314.

It is not an unprimeable number, because it can be changed into a prime (413431301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109858 + ... + 113558.

It is an arithmetic number, because the mean of its divisors is an integer number (15159690).

Almost surely, 2^413431308 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 413431308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545748840).

413431308 is an abundant number, since it is smaller than the sum of its proper divisors (678066372).

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

413431308 is a wasteful number, since it uses less digits than its factorization.

413431308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 413431308 is about 20333.0103034450. The cubic root of 413431308 is about 744.9625721779.

The spelling of 413431308 in words is "four hundred thirteen million, four hundred thirty-one thousand, three hundred eight".