404418408 has 64 divisors (see below), whose sum is σ = 1034208000. Its totient is φ = 131738880.

The previous prime is 404418379. The next prime is 404418431. The reversal of 404418408 is 804814404.

It is a happy 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, 443473 + ... + 444383.

It is an arithmetic number, because the mean of its divisors is an integer number (16159500).

Almost surely, 2^404418408 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 404418408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104000).

404418408 is an abundant number, since it is smaller than the sum of its proper divisors (629789592).

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

404418408 is a wasteful number, since it uses less digits than its factorization.

404418408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 404418408 is about 20110.1568367828. The cubic root of 404418408 is about 739.5092972767.

The spelling of 404418408 in words is "four hundred four million, four hundred eighteen thousand, four hundred eight".