450509 has 8 divisors (see below), whose sum is σ = 480480. Its totient is φ = 421200.

The previous prime is 450503. The next prime is 450529. The reversal of 450509 is 905054.

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

It is a cyclic number.

It is not a de Polignac number, because 450509 - 2⁴ = 450493 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2399 + ... + 2579.

It is an arithmetic number, because the mean of its divisors is an integer number (60060).

2⁴⁵⁰⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

450509 is a deficient number, since it is larger than the sum of its proper divisors (29971).

450509 is a wasteful number, since it uses less digits than its factorization.

450509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 450509 is about 671.1996722288. The cubic root of 450509 is about 76.6598250564.

It can be divided in two parts, 45050 and 9, that multiplied together give a triangular number (405450 = T₉₀₀).

The spelling of 450509 in words is "four hundred fifty thousand, five hundred nine".