459900 has 108 divisors (see below), whose sum is σ = 1670032. Its totient is φ = 103680.

The previous prime is 459883. The next prime is 459913. The reversal of 459900 is 9954.

It is a happy number.

459900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 459900.

It is an unprimeable number.

459900 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 35 ways as a sum of consecutive naturals, for example, 6264 + ... + 6336.

2⁴⁵⁹⁹⁰⁰ 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 459900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835016).

459900 is an abundant number, since it is smaller than the sum of its proper divisors (1210132).

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

459900 is a wasteful number, since it uses less digits than its factorization.

459900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 459900 is about 678.1592733274. The cubic root of 459900 is about 77.1888320892.

The spelling of 459900 in words is "four hundred fifty-nine thousand, nine hundred".