4185220 has 24 divisors (see below), whose sum is σ = 9465624. Its totient is φ = 1545216.

The previous prime is 4185211. The next prime is 4185229. The reversal of 4185220 is 225814.

4185220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4185211) and next prime (4185229).

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 4072324 = 336^2 + 2018^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4185191 and 4185200.

It is not an unprimeable number, because it can be changed into a prime (4185229) 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, 7789 + ... + 8308.

It is an arithmetic number, because the mean of its divisors is an integer number (394401).

Almost surely, 2^4185220 is an apocalyptic number.

It is an amenable number.

4185220 is an abundant number, since it is smaller than the sum of its proper divisors (5280404).

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

4185220 is a wasteful number, since it uses less digits than its factorization.

4185220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16119 (or 16117 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 4185220 is about 2045.7810244501. The cubic root of 4185220 is about 161.1533844239.

The spelling of 4185220 in words is "four million, one hundred eighty-five thousand, two hundred twenty".