404405232 has 300 divisors, whose sum is σ = 1385822760. Its totient is φ = 101418240.

The previous prime is 404405207. The next prime is 404405237. The reversal of 404405232 is 232504404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404405237) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13944994 + ... + 13945022.

Almost surely, 2^404405232 is an apocalyptic number.

404405232 is a gapful number since it is divisible by the number (42) 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 404405232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692911380).

404405232 is an abundant number, since it is smaller than the sum of its proper divisors (981417528).

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

404405232 is a wasteful number, since it uses less digits than its factorization.

404405232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 404405232 is about 20109.8292384595. The cubic root of 404405232 is about 739.5012660891.

Adding to 404405232 its reverse (232504404), we get a palindrome (636909636).

The spelling of 404405232 in words is "four hundred four million, four hundred five thousand, two hundred thirty-two".