944880000 has 320 divisors, whose sum is σ = 3262955520. Its totient is φ = 241920000.

The previous prime is 944879993. The next prime is 944880011. The reversal of 944880000 is 88449.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7439937 + ... + 7440063.

It is an arithmetic number, because the mean of its divisors is an integer number (10196736).

Almost surely, 2^944880000 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 944880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631477760).

944880000 is an abundant number, since it is smaller than the sum of its proper divisors (2318075520).

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

944880000 is a wasteful number, since it uses less digits than its factorization.

944880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 944880000 is about 30738.9004357671. The cubic root of 944880000 is about 981.2783539483.

The spelling of 944880000 in words is "nine hundred forty-four million, eight hundred eighty thousand".