382068200 has 96 divisors (see below), whose sum is σ = 950564160. Its totient is φ = 142310400.

The previous prime is 382068163. The next prime is 382068221. The reversal of 382068200 is 2860283.

It is a super-2 number, since 2×382068200² = 291952218902480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349655 + ... + 350745.

It is an arithmetic number, because the mean of its divisors is an integer number (9901710).

Almost surely, 2^382068200 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 382068200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475282080).

382068200 is an abundant number, since it is smaller than the sum of its proper divisors (568495960).

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

382068200 is a wasteful number, since it uses less digits than its factorization.

382068200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 382068200 is about 19546.5649156060. The cubic root of 382068200 is about 725.6273286095.

The spelling of 382068200 in words is "three hundred eighty-two million, sixty-eight thousand, two hundred".