460500 has 48 divisors (see below), whose sum is σ = 1345344. Its totient is φ = 122400.

The previous prime is 460477. The next prime is 460531. The reversal of 460500 is 5064.

460500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 460500.

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 460500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1347 + ... + 1653.

It is an arithmetic number, because the mean of its divisors is an integer number (28028).

2⁴⁶⁰⁵⁰⁰ 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 460500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672672).

460500 is an abundant number, since it is smaller than the sum of its proper divisors (884844).

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

460500 is a wasteful number, since it uses less digits than its factorization.

460500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 460500 is about 678.6015030929. The cubic root of 460500 is about 77.2223851611. Note that the first 3 decimals are identical.

Adding to 460500 its reverse (5064), we get a palindrome (465564).

The spelling of 460500 in words is "four hundred sixty thousand, five hundred".