413188404 has 48 divisors (see below), whose sum is σ = 1005312000. Its totient is φ = 131918976.

The previous prime is 413188393. The next prime is 413188427. The reversal of 413188404 is 404881314.

It is a congruent number.

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, 39522 + ... + 48870.

It is an arithmetic number, because the mean of its divisors is an integer number (20944000).

Almost surely, 2^413188404 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 413188404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502656000).

413188404 is an abundant number, since it is smaller than the sum of its proper divisors (592123596).

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

413188404 is a wasteful number, since it uses less digits than its factorization.

413188404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9512 (or 9510 counting only the distinct ones).

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

The square root of 413188404 is about 20327.0362817603. The cubic root of 413188404 is about 744.8166472197.

The spelling of 413188404 in words is "four hundred thirteen million, one hundred eighty-eight thousand, four hundred four".