404232120 has 320 divisors, whose sum is σ = 1481911200. Its totient is φ = 98426880.

The previous prime is 404232097. The next prime is 404232133. The reversal of 404232120 is 21232404.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 404232093 and 404232102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2258191 + ... + 2258369.

Almost surely, 2^404232120 is an apocalyptic number.

404232120 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 404232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740955600).

404232120 is an abundant number, since it is smaller than the sum of its proper divisors (1077679080).

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

404232120 is a wasteful number, since it uses less digits than its factorization.

404232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 404232120 is about 20105.5246138965. The cubic root of 404232120 is about 739.3957326589.

Adding to 404232120 its reverse (21232404), we get a palindrome (425464524).

The spelling of 404232120 in words is "four hundred four million, two hundred thirty-two thousand, one hundred twenty".