440844768 has 432 divisors, whose sum is σ = 1646976240. Its totient is φ = 114960384.

The previous prime is 440844739. The next prime is 440844773. The reversal of 440844768 is 867448044.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4953268 + ... + 4953356.

It is an arithmetic number, because the mean of its divisors is an integer number (3812445).

Almost surely, 2^440844768 is an apocalyptic number.

440844768 is a gapful number since it is divisible by the number (48) 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 440844768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823488120).

440844768 is an abundant number, since it is smaller than the sum of its proper divisors (1206131472).

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

440844768 is a wasteful number, since it uses less digits than its factorization.

440844768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 440844768 is about 20996.3036746947. The cubic root of 440844768 is about 761.0769404463.

The spelling of 440844768 in words is "four hundred forty million, eight hundred forty-four thousand, seven hundred sixty-eight".