382205824 has 256 divisors, whose sum is σ = 1082995200. Its totient is φ = 129392640.

The previous prime is 382205797. The next prime is 382205827. The reversal of 382205824 is 428502283.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 382205824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382205827) 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 31 ways as a sum of consecutive naturals, for example, 2434354 + ... + 2434510.

It is an arithmetic number, because the mean of its divisors is an integer number (4230450).

Almost surely, 2^382205824 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 382205824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541497600).

382205824 is an abundant number, since it is smaller than the sum of its proper divisors (700789376).

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

382205824 is a wasteful number, since it uses less digits than its factorization.

382205824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 382205824 is about 19550.0850126029. The cubic root of 382205824 is about 725.7144437260.

It can be divided in two parts, 38220 and 5824, that added together give a palindrome (44044).

The spelling of 382205824 in words is "three hundred eighty-two million, two hundred five thousand, eight hundred twenty-four".