480309 has 8 divisors (see below), whose sum is σ = 668352. Its totient is φ = 306240.

The previous prime is 480299. The next prime is 480317. The reversal of 480309 is 903084.

480309 = 227² + 228² + ... + 235².

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

It is not a de Polignac number, because 480309 - 2⁹ = 479797 is a prime.

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 480309.

It is not an unprimeable number, because it can be changed into a prime (480329) 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, 3412 + ... + 3549.

It is an arithmetic number, because the mean of its divisors is an integer number (83544).

2⁴⁸⁰³⁰⁹ is an apocalyptic number.

It is an amenable number.

480309 is a deficient number, since it is larger than the sum of its proper divisors (188043).

480309 is a wasteful number, since it uses less digits than its factorization.

480309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6987.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 480309 is about 693.0432886913. The cubic root of 480309 is about 78.3141505263.

The spelling of 480309 in words is "four hundred eighty thousand, three hundred nine".