380920 has 32 divisors (see below), whose sum is σ = 874800. Its totient is φ = 149248.

The previous prime is 380917. The next prime is 380929. The reversal of 380920 is 29083.

380920 = T₂₇₁ + T₂₇₂ + ... + T₂₈₀.

It is a junction number, because it is equal to n+sod(n) for n = 380891 and 380900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380929) 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 7 ways as a sum of consecutive naturals, for example, 3507 + ... + 3613.

2³⁸⁰⁹²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437400).

380920 is an abundant number, since it is smaller than the sum of its proper divisors (493880).

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

380920 is a wasteful number, since it uses less digits than its factorization.

380920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 380920 is about 617.1871677214. The cubic root of 380920 is about 72.4899708680.

The spelling of 380920 in words is "three hundred eighty thousand, nine hundred twenty".