382996080 has 160 divisors (see below), whose sum is σ = 1326611520. Its totient is φ = 101560320.

The previous prime is 382996079. The next prime is 382996087. The reversal of 382996080 is 80699283.

382996080 is a `hidden beast` number, since 38 + 2 + 9 + 9 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382996087) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 502900 + ... + 503660.

It is an arithmetic number, because the mean of its divisors is an integer number (8291322).

Almost surely, 2^382996080 is an apocalyptic number.

382996080 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 382996080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663305760).

382996080 is an abundant number, since it is smaller than the sum of its proper divisors (943615440).

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

382996080 is a wasteful number, since it uses less digits than its factorization.

382996080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 382996080 is about 19570.2856392031. The cubic root of 382996080 is about 726.2142663790.

The spelling of 382996080 in words is "three hundred eighty-two million, nine hundred ninety-six thousand, eighty".