385220 has 48 divisors (see below), whose sum is σ = 943488. Its totient is φ = 130560.

The previous prime is 385199. The next prime is 385223. The reversal of 385220 is 22583.

385220 = T₁₃₆ + T₁₃₇ + ... + T₁₆₈.

385220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 385192 and 385201.

It is not an unprimeable number, because it can be changed into a prime (385223) by changing a digit.

385220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3689 + ... + 3791.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2³⁸⁵²²⁰ 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 385220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744).

385220 is an abundant number, since it is smaller than the sum of its proper divisors (558268).

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

385220 is a wasteful number, since it uses less digits than its factorization.

385220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 385220 is about 620.6609380330. The cubic root of 385220 is about 72.7617175853.

The spelling of 385220 in words is "three hundred eighty-five thousand, two hundred twenty".