404455680 has 360 divisors, whose sum is σ = 1495815552. Its totient is φ = 104288256.

The previous prime is 404455643. The next prime is 404455739. The reversal of 404455680 is 86554404.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4872919 + ... + 4873001.

Almost surely, 2^404455680 is an apocalyptic number.

404455680 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 404455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747907776).

404455680 is an abundant number, since it is smaller than the sum of its proper divisors (1091359872).

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

404455680 is an equidigital number, since it uses as much as digits as its factorization.

404455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 404455680 is about 20111.0835113377. The cubic root of 404455680 is about 739.5320147918.

The spelling of 404455680 in words is "four hundred four million, four hundred fifty-five thousand, six hundred eighty".