422144 has 36 divisors (see below), whose sum is σ = 901404. Its totient is φ = 196608.

The previous prime is 422141. The next prime is 422183. The reversal of 422144 is 441224.

422144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 262144 + 160000 = 512^2 + 400^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4304 + ... + 4400.

It is an arithmetic number, because the mean of its divisors is an integer number (25039).

2⁴²²¹⁴⁴ 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 422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450702).

422144 is an abundant number, since it is smaller than the sum of its proper divisors (479260).

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

422144 is an equidigital number, since it uses as much as digits as its factorization.

422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its digits is 256, while the sum is 17.

The square root of 422144 is about 649.7260961359. The cubic root of 422144 is about 75.0159373538.

Adding to 422144 its reverse (441224), we get a palindrome (863368).

The spelling of 422144 in words is "four hundred twenty-two thousand, one hundred forty-four", and thus it is an iban number.