404441120 has 24 divisors (see below), whose sum is σ = 955492524. Its totient is φ = 161776384.

The previous prime is 404441113. The next prime is 404441171. The reversal of 404441120 is 21144404.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 401441296 + 2999824 = 20036^2 + 1732^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 404441092 and 404441101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1263719 + ... + 1264038.

Almost surely, 2^404441120 is an apocalyptic number.

404441120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404441120 is an abundant number, since it is smaller than the sum of its proper divisors (551051404).

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

404441120 is a wasteful number, since it uses less digits than its factorization.

404441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527772 (or 2527764 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 404441120 is about 20110.7215186328. The cubic root of 404441120 is about 739.5231405476.

Adding to 404441120 its reverse (21144404), we get a palindrome (425585524).

The spelling of 404441120 in words is "four hundred four million, four hundred forty-one thousand, one hundred twenty".