382971904 has 156 divisors (see below), whose sum is σ = 948714384. Its totient is φ = 151289856.

The previous prime is 382971899. The next prime is 382971907. The reversal of 382971904 is 409179283.

It is not an unprimeable number, because it can be changed into a prime (382971907) 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 11 ways as a sum of consecutive naturals, for example, 10350574 + ... + 10350610.

Almost surely, 2^382971904 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 382971904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474357192).

382971904 is an abundant number, since it is smaller than the sum of its proper divisors (565742480).

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

382971904 is an equidigital number, since it uses as much as digits as its factorization.

382971904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 382971904 is about 19569.6679583482. The cubic root of 382971904 is about 726.1989856956.

The spelling of 382971904 in words is "three hundred eighty-two million, nine hundred seventy-one thousand, nine hundred four".