404401338 has 96 divisors (see below), whose sum is σ = 1017956160. Its totient is φ = 114670080.

The previous prime is 404401313. The next prime is 404401343. The reversal of 404401338 is 833104404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1066833 + ... + 1067211.

It is an arithmetic number, because the mean of its divisors is an integer number (10603710).

Almost surely, 2^404401338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404401338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508978080).

404401338 is an abundant number, since it is smaller than the sum of its proper divisors (613554822).

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

404401338 is a wasteful number, since it uses less digits than its factorization.

404401338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 404401338 is about 20109.7324199006. The cubic root of 404401338 is about 739.4988925399.

The spelling of 404401338 in words is "four hundred four million, four hundred one thousand, three hundred thirty-eight".