382966944 has 96 divisors (see below), whose sum is σ = 1039034304. Its totient is φ = 123432960.

The previous prime is 382966931. The next prime is 382966949. The reversal of 382966944 is 449669283.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (382966949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466054 + ... + 466874.

It is an arithmetic number, because the mean of its divisors is an integer number (10823274).

Almost surely, 2^382966944 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 382966944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519517152).

382966944 is an abundant number, since it is smaller than the sum of its proper divisors (656067360).

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

382966944 is a wasteful number, since it uses less digits than its factorization.

382966944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 982 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The square root of 382966944 is about 19569.5412312093. The cubic root of 382966944 is about 726.1958505984.

The spelling of 382966944 in words is "three hundred eighty-two million, nine hundred sixty-six thousand, nine hundred forty-four".