382956640 has 96 divisors (see below), whose sum is σ = 1018967040. Its totient is φ = 134745600.

The previous prime is 382956619. The next prime is 382956643. The reversal of 382956640 is 46659283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382956643) 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, 51051 + ... + 58069.

It is an arithmetic number, because the mean of its divisors is an integer number (10614240).

Almost surely, 2^382956640 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 382956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509483520).

382956640 is an abundant number, since it is smaller than the sum of its proper divisors (636010400).

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

382956640 is a wasteful number, since it uses less digits than its factorization.

382956640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7076 (or 7068 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 382956640 is about 19569.2779631748. The cubic root of 382956640 is about 726.1893376001.

The spelling of 382956640 in words is "three hundred eighty-two million, nine hundred fifty-six thousand, six hundred forty".