404413504 has 56 divisors (see below), whose sum is σ = 896880096. Its totient is φ = 179328000.

The previous prime is 404413487. The next prime is 404413519. The reversal of 404413504 is 405314404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21859 + ... + 35869.

It is an arithmetic number, because the mean of its divisors is an integer number (16015716).

Almost surely, 2^404413504 is an apocalyptic number.

404413504 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 404413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448440048).

404413504 is an abundant number, since it is smaller than the sum of its proper divisors (492466592).

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

404413504 is a wasteful number, since it uses less digits than its factorization.

404413504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14075 (or 14065 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 404413504 is about 20110.0349079757. The cubic root of 404413504 is about 739.5063081544.

Adding to 404413504 its reverse (405314404), we get a palindrome (809727908).

The spelling of 404413504 in words is "four hundred four million, four hundred thirteen thousand, five hundred four".