382200000 has 504 divisors, whose sum is σ = 1583429904. Its totient is φ = 80640000.

The previous prime is 382199999. The next prime is 382200011. The reversal of 382200000 is 2283.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29399994 + ... + 29400006.

It is an arithmetic number, because the mean of its divisors is an integer number (3141726).

Almost surely, 2^382200000 is an apocalyptic number.

382200000 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 382200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791714952).

382200000 is an abundant number, since it is smaller than the sum of its proper divisors (1201229904).

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

382200000 is an equidigital number, since it uses as much as digits as its factorization.

382200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 382200000 is about 19549.9360612765. The cubic root of 382200000 is about 725.7107575948.

Adding to 382200000 its reverse (2283), we get a palindrome (382202283).

The spelling of 382200000 in words is "three hundred eighty-two million, two hundred thousand".