404235120 has 160 divisors (see below), whose sum is σ = 1328343552. Its totient is φ = 101477376.

The previous prime is 404235067. The next prime is 404235173. The reversal of 404235120 is 21532404.

It is an interprime number because it is at equal distance from previous prime (404235067) and next prime (404235173).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369294 + ... + 370386.

Almost surely, 2^404235120 is an apocalyptic number.

404235120 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 404235120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664171776).

404235120 is an abundant number, since it is smaller than the sum of its proper divisors (924108432).

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

404235120 is a wasteful number, since it uses less digits than its factorization.

404235120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 404235120 is about 20105.5992201178. The cubic root of 404235120 is about 739.3975617909.

Adding to 404235120 its reverse (21532404), we get a palindrome (425767524).

The spelling of 404235120 in words is "four hundred four million, two hundred thirty-five thousand, one hundred twenty".