480111217 has 2 divisors, whose sum is σ = 480111218. Its totient is φ = 480111216.

The previous prime is 480111193. The next prime is 480111241. The reversal of 480111217 is 712111084.

It is a balanced prime because it is at equal distance from previous prime (480111193) and next prime (480111241).

It can be written as a sum of positive squares in only one way, i.e., 429359841 + 50751376 = 20721^2 + 7124^2 .

It is a cyclic number.

It is not a de Polignac number, because 480111217 - 2⁷ = 480111089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 480111191 and 480111200.

It is not a weakly prime, because it can be changed into another prime (480111257) 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, 240055608 + 240055609.

It is an arithmetic number, because the mean of its divisors is an integer number (240055609).

Almost surely, 2^480111217 is an apocalyptic number.

It is an amenable number.

480111217 is a deficient number, since it is larger than the sum of its proper divisors (1).

480111217 is an equidigital number, since it uses as much as digits as its factorization.

480111217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 25.

The square root of 480111217 is about 21911.4403223522. The cubic root of 480111217 is about 783.0339957631.

The spelling of 480111217 in words is "four hundred eighty million, one hundred eleven thousand, two hundred seventeen".