404408080 has 40 divisors (see below), whose sum is σ = 981133632. Its totient is φ = 154729344.

The previous prime is 404408071. The next prime is 404408083. The reversal of 404408080 is 80804404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (404408083) 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, 108054 + ... + 111733.

Almost surely, 2^404408080 is an apocalyptic number.

404408080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404408080 is an abundant number, since it is smaller than the sum of its proper divisors (576725552).

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

404408080 is a wasteful number, since it uses less digits than its factorization.

404408080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219823 (or 219817 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 404408080 is about 20109.9000494781. The cubic root of 404408080 is about 739.5030020497.

The spelling of 404408080 in words is "four hundred four million, four hundred eight thousand, eighty".