382866432 has 88 divisors (see below), whose sum is σ = 1099091616. Its totient is φ = 117792768.

The previous prime is 382866427. The next prime is 382866433. The reversal of 382866432 is 234668283.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382866433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35143 + ... + 44729.

Almost surely, 2^382866432 is an apocalyptic number.

382866432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382866432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549545808).

382866432 is an abundant number, since it is smaller than the sum of its proper divisors (716225184).

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

382866432 is a wasteful number, since it uses less digits than its factorization.

382866432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9623 (or 9605 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 382866432 is about 19566.9729902200. The cubic root of 382866432 is about 726.1323135359.

The spelling of 382866432 in words is "three hundred eighty-two million, eight hundred sixty-six thousand, four hundred thirty-two".