382824300 has 72 divisors (see below), whose sum is σ = 1128584016. Its totient is φ = 100156160.

The previous prime is 382824271. The next prime is 382824307. The reversal of 382824300 is 3428283.

382824300 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 (30).

It is not an unprimeable number, because it can be changed into a prime (382824307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3862 + ... + 27938.

It is an arithmetic number, because the mean of its divisors is an integer number (15674778).

Almost surely, 2^382824300 is an apocalyptic number.

382824300 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 382824300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564292008).

382824300 is an abundant number, since it is smaller than the sum of its proper divisors (745759716).

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

382824300 is a wasteful number, since it uses less digits than its factorization.

382824300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24147 (or 24140 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 382824300 is about 19565.8963505381. The cubic root of 382824300 is about 726.1056771545.

The spelling of 382824300 in words is "three hundred eighty-two million, eight hundred twenty-four thousand, three hundred".