382932000 has 288 divisors, whose sum is σ = 1484106624. Its totient is φ = 92736000.

The previous prime is 382931993. The next prime is 382932013. The reversal of 382932000 is 239283.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 395517 + ... + 396483.

It is an arithmetic number, because the mean of its divisors is an integer number (5153148).

Almost surely, 2^382932000 is an apocalyptic number.

382932000 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 382932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742053312).

382932000 is an abundant number, since it is smaller than the sum of its proper divisors (1101174624).

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

382932000 is a wasteful number, since it uses less digits than its factorization.

382932000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 382932000 is about 19568.6483948177. The cubic root of 382932000 is about 726.1737625652.

The spelling of 382932000 in words is "three hundred eighty-two million, nine hundred thirty-two thousand".