382909520 has 240 divisors, whose sum is σ = 1123642368. Its totient is φ = 120637440.

The previous prime is 382909519. The next prime is 382909529. The reversal of 382909520 is 25909283.

382909520 is digitally balanced in base 3, 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 (382909529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2794892 + ... + 2795028.

Almost surely, 2^382909520 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 382909520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561821184).

382909520 is an abundant number, since it is smaller than the sum of its proper divisors (740732848).

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

382909520 is a wasteful number, since it uses less digits than its factorization.

382909520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 382909520 is about 19568.0739982248. The cubic root of 382909520 is about 726.1595522915.

The spelling of 382909520 in words is "three hundred eighty-two million, nine hundred nine thousand, five hundred twenty".