459228 has 72 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 117600.

The previous prime is 459223. The next prime is 459229. The reversal of 459228 is 822954.

It is a junction number, because it is equal to n+sod(n) for n = 459195 and 459204.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 459228.

It is not an unprimeable number, because it can be changed into a prime (459223) by changing a digit.

459228 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 23 ways as a sum of consecutive naturals, for example, 6433 + ... + 6503.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2⁴⁵⁹²²⁸ 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 459228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472).

459228 is an abundant number, since it is smaller than the sum of its proper divisors (919716).

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

459228 is a wasteful number, since it uses less digits than its factorization.

459228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 94 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 459228 is about 677.6636333757. The cubic root of 459228 is about 77.1512179847.

The spelling of 459228 in words is "four hundred fifty-nine thousand, two hundred twenty-eight".