459306 has 48 divisors (see below), whose sum is σ = 1123200. Its totient is φ = 134784.

The previous prime is 459301. The next prime is 459313. The reversal of 459306 is 603954.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 459306.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 459306.

It is not an unprimeable number, because it can be changed into a prime (459301) by changing a digit.

459306 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 5775 + ... + 5853.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2⁴⁵⁹³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561600).

459306 is an abundant number, since it is smaller than the sum of its proper divisors (663894).

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

459306 is a wasteful number, since it uses less digits than its factorization.

459306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 459306 is about 677.7211816079. The cubic root of 459306 is about 77.1555857891.

The spelling of 459306 in words is "four hundred fifty-nine thousand, three hundred six".