944400768 has 64 divisors (see below), whose sum is σ = 2517049920. Its totient is φ = 313735680.

The previous prime is 944400767. The next prime is 944400773. The reversal of 944400768 is 867004449.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (944400761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113883 + ... + 121893.

It is an arithmetic number, because the mean of its divisors is an integer number (39328905).

Almost surely, 2^944400768 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 944400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258524960).

944400768 is an abundant number, since it is smaller than the sum of its proper divisors (1572649152).

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

944400768 is a wasteful number, since it uses less digits than its factorization.

944400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8335 (or 8323 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 944400768 is about 30731.1042430955. The cubic root of 944400768 is about 981.1124282879.

The spelling of 944400768 in words is "nine hundred forty-four million, four hundred thousand, seven hundred sixty-eight".