404866560 has 320 divisors, whose sum is σ = 1569756672. Its totient is φ = 86900736.

The previous prime is 404866549. The next prime is 404866571. The reversal of 404866560 is 65668404.

It is an interprime number because it is at equal distance from previous prime (404866549) and next prime (404866571).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 913699 + ... + 914141.

Almost surely, 2^404866560 is an apocalyptic number.

404866560 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 404866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784878336).

404866560 is an abundant number, since it is smaller than the sum of its proper divisors (1164890112).

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

404866560 is a wasteful number, since it uses less digits than its factorization.

404866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 404866560 is about 20121.2961809124. The cubic root of 404866560 is about 739.7823562525.

The spelling of 404866560 in words is "four hundred four million, eight hundred sixty-six thousand, five hundred sixty".