480908009 has 2 divisors, whose sum is σ = 480908010. Its totient is φ = 480908008.

The previous prime is 480907967. The next prime is 480908017. The reversal of 480908009 is 900809084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 446392384 + 34515625 = 21128^2 + 5875^2 .

It is a cyclic number.

It is not a de Polignac number, because 480908009 - 2⁸ = 480907753 is a prime.

It is a super-3 number, since 3×480908009³ (a number of 27 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (480908209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240454004 + 240454005.

It is an arithmetic number, because the mean of its divisors is an integer number (240454005).

Almost surely, 2^480908009 is an apocalyptic number.

It is an amenable number.

480908009 is a deficient number, since it is larger than the sum of its proper divisors (1).

480908009 is an equidigital number, since it uses as much as digits as its factorization.

480908009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 480908009 is about 21929.6148848994. The cubic root of 480908009 is about 783.4669304455.

The spelling of 480908009 in words is "four hundred eighty million, nine hundred eight thousand, nine".