382363200 has 336 divisors, whose sum is σ = 1428658560. Its totient is φ = 99440640.

The previous prime is 382363169. The next prime is 382363211. The reversal of 382363200 is 2363283.

382363200 is a `hidden beast` number, since 3 + 8 + 23 + 632 + 0 + 0 = 666.

382363200 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2289517 + ... + 2289683.

It is an arithmetic number, because the mean of its divisors is an integer number (4251960).

Almost surely, 2^382363200 is an apocalyptic number.

382363200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714329280).

382363200 is an abundant number, since it is smaller than the sum of its proper divisors (1046295360).

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

382363200 is a wasteful number, since it uses less digits than its factorization.

382363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 382363200 is about 19554.1095424977. The cubic root of 382363200 is about 725.8140361071.

The spelling of 382363200 in words is "three hundred eighty-two million, three hundred sixty-three thousand, two hundred".