404666560 has 168 divisors, whose sum is σ = 1059094656. Its totient is φ = 147087360.

The previous prime is 404666527. The next prime is 404666599. The reversal of 404666560 is 65666404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3581064 + ... + 3581176.

Almost surely, 2^404666560 is an apocalyptic number.

404666560 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 404666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529547328).

404666560 is an abundant number, since it is smaller than the sum of its proper divisors (654428096).

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

404666560 is a wasteful number, since it uses less digits than its factorization.

404666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 404666560 is about 20116.3257082401. The cubic root of 404666560 is about 739.6605211793.

The spelling of 404666560 in words is "four hundred four million, six hundred sixty-six thousand, five hundred sixty".