382846086 has 192 divisors, whose sum is σ = 1105228800. Its totient is φ = 93063168.

The previous prime is 382846073. The next prime is 382846097. The reversal of 382846086 is 680648283.

It is a happy number.

382846086 is a `hidden beast` number, since 38 + 2 + 8 + 4 + 608 + 6 = 666.

It is a super-2 number, since 2×382846086² = 293142251131038792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 935850 + ... + 936258.

It is an arithmetic number, because the mean of its divisors is an integer number (5756400).

Almost surely, 2^382846086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382846086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552614400).

382846086 is an abundant number, since it is smaller than the sum of its proper divisors (722382714).

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

382846086 is a wasteful number, since it uses less digits than its factorization.

382846086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 382846086 is about 19566.4530766309. The cubic root of 382846086 is about 726.1194507823.

The spelling of 382846086 in words is "three hundred eighty-two million, eight hundred forty-six thousand, eighty-six".