404332080 has 160 divisors (see below), whose sum is σ = 1340432064. Its totient is φ = 100466688.

The previous prime is 404332051. The next prime is 404332081. The reversal of 404332080 is 80233404.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 404332080.

It is not an unprimeable number, because it can be changed into a prime (404332081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460602 + ... + 461478.

Almost surely, 2^404332080 is an apocalyptic number.

404332080 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 404332080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670216032).

404332080 is an abundant number, since it is smaller than the sum of its proper divisors (936099984).

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

404332080 is a wasteful number, since it uses less digits than its factorization.

404332080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 404332080 is about 20108.0103441390. The cubic root of 404332080 is about 739.4566744647.

Adding to 404332080 its reverse (80233404), we get a palindrome (484565484).

The spelling of 404332080 in words is "four hundred four million, three hundred thirty-two thousand, eighty".