404005404 has 48 divisors (see below), whose sum is σ = 1029611520. Its totient is φ = 122279040.

The previous prime is 404005403. The next prime is 404005429. The reversal of 404005404 is 404500404.

It is a super-2 number, since 2×404005404² = 326440732922406432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404005403) 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, 167632 + ... + 170024.

It is an arithmetic number, because the mean of its divisors is an integer number (21450240).

Almost surely, 2^404005404 is an apocalyptic number.

404005404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404005404 is an abundant number, since it is smaller than the sum of its proper divisors (625606116).

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

404005404 is a wasteful number, since it uses less digits than its factorization.

404005404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3690 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 404005404 is about 20099.8856713166. The cubic root of 404005404 is about 739.2574753032.

Adding to 404005404 its reverse (404500404), we get a palindrome (808505808).

The spelling of 404005404 in words is "four hundred four million, five thousand, four hundred four".