380220 has 24 divisors (see below), whose sum is σ = 1064784. Its totient is φ = 101376.

The previous prime is 380207. The next prime is 380231. The reversal of 380220 is 22083.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 380220.

It is a congruent number.

It is an unprimeable number.

380220 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 3109 + ... + 3228.

It is an arithmetic number, because the mean of its divisors is an integer number (44366).

2³⁸⁰²²⁰ is an apocalyptic number.

380220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380220 is an abundant number, since it is smaller than the sum of its proper divisors (684564).

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

380220 is a wasteful number, since it uses less digits than its factorization.

380220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 380220 is about 616.6198180403. The cubic root of 380220 is about 72.4455397590.

The spelling of 380220 in words is "three hundred eighty thousand, two hundred twenty".