460809 has 10 divisors (see below), whose sum is σ = 688490. Its totient is φ = 307152.

The previous prime is 460793. The next prime is 460813. The reversal of 460809 is 908064.

It can be written as a sum of positive squares in only one way, i.e., 455625 + 5184 = 675^2 + 72^2 .

It is not a de Polignac number, because 460809 - 2⁴ = 460793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (460829) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2764 + ... + 2925.

It is an arithmetic number, because the mean of its divisors is an integer number (68849).

2⁴⁶⁰⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

460809 is a deficient number, since it is larger than the sum of its proper divisors (227681).

460809 is an equidigital number, since it uses as much as digits as its factorization.

460809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5701 (or 5692 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 460809 is about 678.8291390328. The cubic root of 460809 is about 77.2396536242.

The spelling of 460809 in words is "four hundred sixty thousand, eight hundred nine".