480508209 has 6 divisors (see below), whose sum is σ = 694067426. Its totient is φ = 320338800.

The previous prime is 480508177. The next prime is 480508243. The reversal of 480508209 is 902805084.

It can be written as a sum of positive squares in only one way, i.e., 315950625 + 164557584 = 17775^2 + 12828^2 .

It is not a de Polignac number, because 480508209 - 2⁵ = 480508177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480509209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26694892 + ... + 26694909.

Almost surely, 2^480508209 is an apocalyptic number.

It is an amenable number.

480508209 is a deficient number, since it is larger than the sum of its proper divisors (213559217).

480508209 is a wasteful number, since it uses less digits than its factorization.

480508209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53389807 (or 53389804 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 480508209 is about 21920.4974624209. The cubic root of 480508209 is about 783.2497600694.

The spelling of 480508209 in words is "four hundred eighty million, five hundred eight thousand, two hundred nine".