440240768 has 64 divisors (see below), whose sum is σ = 965589120. Its totient is φ = 198266880.

The previous prime is 440240741. The next prime is 440240777. The reversal of 440240768 is 867042044.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157721 + ... + 160487.

It is an arithmetic number, because the mean of its divisors is an integer number (15087330).

Almost surely, 2^440240768 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 440240768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482794560).

440240768 is an abundant number, since it is smaller than the sum of its proper divisors (525348352).

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

440240768 is a wasteful number, since it uses less digits than its factorization.

440240768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 440240768 is about 20981.9152605285. The cubic root of 440240768 is about 760.7291985611.

The spelling of 440240768 in words is "four hundred forty million, two hundred forty thousand, seven hundred sixty-eight".