386220 has 48 divisors (see below), whose sum is σ = 1114848. Its totient is φ = 99840.

The previous prime is 386219. The next prime is 386227. The reversal of 386220 is 22683.

It is not an unprimeable number, because it can be changed into a prime (386227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2382 + ... + 2538.

It is an arithmetic number, because the mean of its divisors is an integer number (23226).

2³⁸⁶²²⁰ is an apocalyptic number.

386220 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 386220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557424).

386220 is an abundant number, since it is smaller than the sum of its proper divisors (728628).

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

386220 is a wasteful number, since it uses less digits than its factorization.

386220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 386220 is about 621.4660087245. The cubic root of 386220 is about 72.8246243633.

It can be divided in two parts, 386 and 220, that added together give a palindrome (606).

The spelling of 386220 in words is "three hundred eighty-six thousand, two hundred twenty".