968494440 has 256 divisors, whose sum is σ = 3149280000. Its totient is φ = 237805568.

The previous prime is 968494433. The next prime is 968494459. The reversal of 968494440 is 44494869.

It is a happy number.

968494440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 968494440.

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, 10881916 + ... + 10882004.

It is an arithmetic number, because the mean of its divisors is an integer number (12301875).

Almost surely, 2^968494440 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 968494440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574640000).

968494440 is an abundant number, since it is smaller than the sum of its proper divisors (2180785560).

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

968494440 is a wasteful number, since it uses less digits than its factorization.

968494440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 968494440 is about 31120.6433095462. The cubic root of 968494440 is about 989.3858858406.

The spelling of 968494440 in words is "nine hundred sixty-eight million, four hundred ninety-four thousand, four hundred forty".