459800 has 72 divisors (see below), whose sum is σ = 1236900. Its totient is φ = 158400.

The previous prime is 459791. The next prime is 459803. The reversal of 459800 is 8954.

It is a super-2 number, since 2×459800² = 422832080000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 459800.

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 459800.

It is not an unprimeable number, because it can be changed into a prime (459803) by changing a digit.

459800 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 17 ways as a sum of consecutive naturals, for example, 24191 + ... + 24209.

2⁴⁵⁹⁸⁰⁰ is an apocalyptic number.

459800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618450).

459800 is an abundant number, since it is smaller than the sum of its proper divisors (777100).

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

459800 is a wasteful number, since it uses less digits than its factorization.

459800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 459800 is about 678.0855403266. The cubic root of 459800 is about 77.1832370738.

The spelling of 459800 in words is "four hundred fifty-nine thousand, eight hundred".