382833880 has 256 divisors, whose sum is σ = 1114767360. Its totient is φ = 116121600.

The previous prime is 382833853. The next prime is 382833881. The reversal of 382833880 is 88338283.

382833880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382833881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3014377 + ... + 3014503.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2^382833880 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 382833880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557383680).

382833880 is an abundant number, since it is smaller than the sum of its proper divisors (731933480).

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

382833880 is a wasteful number, since it uses less digits than its factorization.

382833880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 382833880 is about 19566.1411627331. The cubic root of 382833880 is about 726.1117339229. Note that the first 3 decimals are identical.

The spelling of 382833880 in words is "three hundred eighty-two million, eight hundred thirty-three thousand, eight hundred eighty".