422304 has 48 divisors (see below), whose sum is σ = 1143072. Its totient is φ = 136448.

The previous prime is 422291. The next prime is 422309. The reversal of 422304 is 403224.

It is a happy number.

422304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 422304.

It is not an unprimeable number, because it can be changed into a prime (422309) by changing a digit.

422304 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 7 ways as a sum of consecutive naturals, for example, 5047 + ... + 5129.

It is an arithmetic number, because the mean of its divisors is an integer number (23814).

2⁴²²³⁰⁴ 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 422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571536).

422304 is an abundant number, since it is smaller than the sum of its proper divisors (720768).

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

422304 is a wasteful number, since it uses less digits than its factorization.

422304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 422304 is about 649.8492132795. The cubic root of 422304 is about 75.0254136099.

Adding to 422304 its reverse (403224), we get a palindrome (825528).

It can be divided in two parts, 42 and 2304, that added together give a triangular number (2346 = T₆₈).

The spelling of 422304 in words is "four hundred twenty-two thousand, three hundred four", and thus it is an iban number.