404408004 has 192 divisors, whose sum is σ = 1281595392. Its totient is φ = 95846400.

The previous prime is 404407957. The next prime is 404408029. The reversal of 404408004 is 400804404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1573444 + ... + 1573700.

It is an arithmetic number, because the mean of its divisors is an integer number (6674976).

Almost surely, 2^404408004 is an apocalyptic number.

404408004 is a gapful number since it is divisible by the number (44) 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 404408004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640797696).

404408004 is an abundant number, since it is smaller than the sum of its proper divisors (877187388).

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

404408004 is a wasteful number, since it uses less digits than its factorization.

404408004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 404408004 is about 20109.8981598615. The cubic root of 404408004 is about 739.5029557250.

It can be divided in two parts, 40 and 4408004, that added together give a palindrome (4408044).

The spelling of 404408004 in words is "four hundred four million, four hundred eight thousand, four".