460509 has 8 divisors (see below), whose sum is σ = 701760. Its totient is φ = 263136.

The previous prime is 460477. The next prime is 460531. The reversal of 460509 is 905064.

460509 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 460509 - 2⁵ = 460477 is a prime.

460509 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10944 + ... + 10985.

It is an arithmetic number, because the mean of its divisors is an integer number (87720).

2⁴⁶⁰⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

460509 is a deficient number, since it is larger than the sum of its proper divisors (241251).

460509 is a wasteful number, since it uses less digits than its factorization.

460509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21939.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 460509 is about 678.6081343456. The cubic root of 460509 is about 77.2228882352. Note that the first 3 decimals are identical.

It can be divided in two parts, 460 and 509, that added together give a palindrome (969).

The spelling of 460509 in words is "four hundred sixty thousand, five hundred nine".