404480160 has 144 divisors (see below), whose sum is σ = 1577511936. Its totient is φ = 92450304.

The previous prime is 404480159. The next prime is 404480161. The reversal of 404480160 is 61084404.

It is an interprime number because it is at equal distance from previous prime (404480159) and next prime (404480161).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (404480161) 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 23 ways as a sum of consecutive naturals, for example, 9984 + ... + 30143.

It is an arithmetic number, because the mean of its divisors is an integer number (10954944).

Almost surely, 2^404480160 is an apocalyptic number.

404480160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404480160 is an abundant number, since it is smaller than the sum of its proper divisors (1173031776).

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

404480160 is a wasteful number, since it uses less digits than its factorization.

404480160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40155 (or 40144 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 404480160 is about 20111.6921217485. The cubic root of 404480160 is about 739.5469347442.

The spelling of 404480160 in words is "four hundred four million, four hundred eighty thousand, one hundred sixty".