382950568 has 256 divisors, whose sum is σ = 1066867200. Its totient is φ = 123863040.

The previous prime is 382950563. The next prime is 382950571. The reversal of 382950568 is 865059283.

It is a super-2 number, since 2×382950568² = 293302275063045248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (382950563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3947896 + ... + 3947992.

It is an arithmetic number, because the mean of its divisors is an integer number (4167450).

Almost surely, 2^382950568 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 382950568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533433600).

382950568 is an abundant number, since it is smaller than the sum of its proper divisors (683916632).

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

382950568 is a wasteful number, since it uses less digits than its factorization.

382950568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The square root of 382950568 is about 19569.1228214246. The cubic root of 382950568 is about 726.1854995285.

The spelling of 382950568 in words is "three hundred eighty-two million, nine hundred fifty thousand, five hundred sixty-eight".