382920 has 32 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 102080.

The previous prime is 382919. The next prime is 382933. The reversal of 382920 is 29283.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1476 + ... + 1715.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2³⁸²⁹²⁰ is an apocalyptic number.

382920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382920 is an abundant number, since it is smaller than the sum of its proper divisors (766200).

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

382920 is a wasteful number, since it uses less digits than its factorization.

382920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 382920 is about 618.8053005591. The cubic root of 382920 is about 72.6166177079.

The spelling of 382920 in words is "three hundred eighty-two thousand, nine hundred twenty".