404845088256 has 640 divisors, whose sum is σ = 1488361881600. Its totient is φ = 106032291840.

The previous prime is 404845088209. The next prime is 404845088261. The reversal of 404845088256 is 652880548404.

404845088256 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 4 + 508 + 82 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56992801 + ... + 56999903.

It is an arithmetic number, because the mean of its divisors is an integer number (2325565440).

Almost surely, 2^404845088256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404845088256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744180940800).

404845088256 is an abundant number, since it is smaller than the sum of its proper divisors (1083516793344).

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

404845088256 is a wasteful number, since it uses less digits than its factorization.

404845088256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7187 (or 7165 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 404845088256 in words is "four hundred four billion, eight hundred forty-five million, eighty-eight thousand, two hundred fifty-six".