404344160 has 96 divisors (see below), whose sum is σ = 1075866624. Its totient is φ = 142272000.

The previous prime is 404344159. The next prime is 404344181. The reversal of 404344160 is 61443404.

It is a super-2 number, since 2×404344160² = 326988399452211200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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, 50855 + ... + 58265.

It is an arithmetic number, because the mean of its divisors is an integer number (11206944).

Almost surely, 2^404344160 is an apocalyptic number.

404344160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537933312).

404344160 is an abundant number, since it is smaller than the sum of its proper divisors (671522464).

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

404344160 is a wasteful number, since it uses less digits than its factorization.

404344160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7468 (or 7460 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 404344160 is about 20108.3107197000. The cubic root of 404344160 is about 739.4640385004.

Adding to 404344160 its reverse (61443404), we get a palindrome (465787564).

The spelling of 404344160 in words is "four hundred four million, three hundred forty-four thousand, one hundred sixty".