350220 has 48 divisors (see below), whose sum is σ = 1058400. Its totient is φ = 86016.

The previous prime is 350219. The next prime is 350237. The reversal of 350220 is 22053.

350220 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 350196 and 350205.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 350220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556 + ... + 1004.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2³⁵⁰²²⁰ is an apocalyptic number.

350220 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 350220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529200).

350220 is an abundant number, since it is smaller than the sum of its proper divisors (708180).

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

350220 is a wasteful number, since it uses less digits than its factorization.

350220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 350220 is about 591.7938830370. The cubic root of 350220 is about 70.4877499967.

Adding to 350220 its reverse (22053), we get a palindrome (372273).

The spelling of 350220 in words is "three hundred fifty thousand, two hundred twenty".