382785520 has 120 divisors (see below), whose sum is σ = 992936448. Its totient is φ = 136419840.

The previous prime is 382785511. The next prime is 382785523. The reversal of 382785520 is 25587283.

382785520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382785523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999249 + ... + 999631.

Almost surely, 2^382785520 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 382785520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496468224).

382785520 is an abundant number, since it is smaller than the sum of its proper divisors (610150928).

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

382785520 is a wasteful number, since it uses less digits than its factorization.

382785520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 382785520 is about 19564.9053153855. The cubic root of 382785520 is about 726.0811582224.

The spelling of 382785520 in words is "three hundred eighty-two million, seven hundred eighty-five thousand, five hundred twenty".