382324992 has 216 divisors, whose sum is σ = 1233562176. Its totient is φ = 102961152.

The previous prime is 382324949. The next prime is 382324993. The reversal of 382324992 is 299423283.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (382324993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1940638 + ... + 1940834.

It is an arithmetic number, because the mean of its divisors is an integer number (5710936).

Almost surely, 2^382324992 is an apocalyptic number.

382324992 is a gapful number since it is divisible by the number (32) 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 382324992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616781088).

382324992 is an abundant number, since it is smaller than the sum of its proper divisors (851237184).

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

382324992 is a wasteful number, since it uses less digits than its factorization.

382324992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 228 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 382324992 is about 19553.1325367574. The cubic root of 382324992 is about 725.7898594199.

The spelling of 382324992 in words is "three hundred eighty-two million, three hundred twenty-four thousand, nine hundred ninety-two".