450009 has 16 divisors (see below), whose sum is σ = 762240. Its totient is φ = 257040.

The previous prime is 450001. The next prime is 450011. The reversal of 450009 is 900054.

It is not a de Polignac number, because 450009 - 2³ = 450001 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 449973 and 450000.

It is not an unprimeable number, because it can be changed into a prime (450001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1002 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (47640).

2⁴⁵⁰⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

450009 is a deficient number, since it is larger than the sum of its proper divisors (312231).

450009 is a wasteful number, since it uses less digits than its factorization.

450009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 450009 is about 670.8271014203. The cubic root of 450009 is about 76.6314541089.

The spelling of 450009 in words is "four hundred fifty thousand, nine".