404461120 has 56 divisors (see below), whose sum is σ = 1100718144. Its totient is φ = 138671616.

The previous prime is 404461087. The next prime is 404461129. The reversal of 404461120 is 21164404.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 404461091 and 404461100.

It is not an unprimeable number, because it can be changed into a prime (404461129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88042 + ... + 92521.

Almost surely, 2^404461120 is an apocalyptic number.

404461120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404461120 is an abundant number, since it is smaller than the sum of its proper divisors (696257024).

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

404461120 is a wasteful number, since it uses less digits than its factorization.

404461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180587 (or 180577 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 404461120 is about 20111.2187596873. The cubic root of 404461120 is about 739.5353303888.

The spelling of 404461120 in words is "four hundred four million, four hundred sixty-one thousand, one hundred twenty".