382009152 has 56 divisors (see below), whose sum is σ = 1155126976. Its totient is φ = 109145088.

The previous prime is 382009151. The next prime is 382009171. The reversal of 382009152 is 251900283.

It is a happy number.

382009152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382009151) 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, 140773 + ... + 143460.

Almost surely, 2^382009152 is an apocalyptic number.

382009152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

382009152 is an abundant number, since it is smaller than the sum of its proper divisors (773117824).

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

382009152 is a wasteful number, since it uses less digits than its factorization.

382009152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284255 (or 284245 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 382009152 is about 19545.0544128176. The cubic root of 382009152 is about 725.5899451877.

The spelling of 382009152 in words is "three hundred eighty-two million, nine thousand, one hundred fifty-two".