440081856 has 224 divisors, whose sum is σ = 1395740160. Its totient is φ = 135475200.

The previous prime is 440081813. The next prime is 440081867. The reversal of 440081856 is 658180044.

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

It is a self number, because there is not a number n which added to its sum of digits gives 440081856.

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, 2085591 + ... + 2085801.

Almost surely, 2^440081856 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 440081856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697870080).

440081856 is an abundant number, since it is smaller than the sum of its proper divisors (955658304).

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

440081856 is a wasteful number, since it uses less digits than its factorization.

440081856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 440081856 is about 20978.1280385072. The cubic root of 440081856 is about 760.6376550575.

The spelling of 440081856 in words is "four hundred forty million, eighty-one thousand, eight hundred fifty-six".