413414808 has 64 divisors (see below), whose sum is σ = 1069286400. Its totient is φ = 133105920.

The previous prime is 413414803. The next prime is 413414809. The reversal of 413414808 is 808414314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413414803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99313 + ... + 103391.

It is an arithmetic number, because the mean of its divisors is an integer number (16707600).

Almost surely, 2^413414808 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 413414808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534643200).

413414808 is an abundant number, since it is smaller than the sum of its proper divisors (655871592).

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

413414808 is a wasteful number, since it uses less digits than its factorization.

413414808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 413414808 is about 20332.6045552457. The cubic root of 413414808 is about 744.9526615868.

The spelling of 413414808 in words is "four hundred thirteen million, four hundred fourteen thousand, eight hundred eight".