480906719 has 2 divisors, whose sum is σ = 480906720. Its totient is φ = 480906718.

The previous prime is 480906703. The next prime is 480906721. The reversal of 480906719 is 917609084.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 480906719 - 2⁴ = 480906703 is a prime.

It is a super-3 number, since 3×480906719³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

Together with 480906721, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 480906719.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (480906119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240453359 + 240453360.

It is an arithmetic number, because the mean of its divisors is an integer number (240453360).

Almost surely, 2^480906719 is an apocalyptic number.

480906719 is a deficient number, since it is larger than the sum of its proper divisors (1).

480906719 is an equidigital number, since it uses as much as digits as its factorization.

480906719 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 480906719 is about 21929.5854725984. The cubic root of 480906719 is about 783.4662299143.

The spelling of 480906719 in words is "four hundred eighty million, nine hundred six thousand, seven hundred nineteen".