382980 has 48 divisors (see below), whose sum is σ = 1157184. Its totient is φ = 94080.

The previous prime is 382979. The next prime is 382999. The reversal of 382980 is 89283.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (24108).

2³⁸²⁹⁸⁰ is an apocalyptic number.

382980 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 382980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578592).

382980 is an abundant number, since it is smaller than the sum of its proper divisors (774204).

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

382980 is a wasteful number, since it uses less digits than its factorization.

382980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 382980 is about 618.8537791757. The cubic root of 382980 is about 72.6204102925.

The spelling of 382980 in words is "three hundred eighty-two thousand, nine hundred eighty".