480807209 has 16 divisors (see below), whose sum is σ = 528758208. Its totient is φ = 435359232.

The previous prime is 480807199. The next prime is 480807221. The reversal of 480807209 is 902708084.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-480807209 is a prime.

It is a super-3 number, since 3×480807209³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (480807259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44069 + ... + 53885.

It is an arithmetic number, because the mean of its divisors is an integer number (33047388).

Almost surely, 2^480807209 is an apocalyptic number.

It is an amenable number.

480807209 is a deficient number, since it is larger than the sum of its proper divisors (47950999).

480807209 is a wasteful number, since it uses less digits than its factorization.

480807209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9944.

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 480807209 is about 21927.3165024816. The cubic root of 480807209 is about 783.4121874847.

The spelling of 480807209 in words is "four hundred eighty million, eight hundred seven thousand, two hundred nine".