480312221 has 2 divisors, whose sum is σ = 480312222. Its totient is φ = 480312220.

The previous prime is 480312167. The next prime is 480312247. The reversal of 480312221 is 122213084.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 439531225 + 40780996 = 20965^2 + 6386^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-480312221 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (480312421) 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, 240156110 + 240156111.

It is an arithmetic number, because the mean of its divisors is an integer number (240156111).

Almost surely, 2^480312221 is an apocalyptic number.

It is an amenable number.

480312221 is a deficient number, since it is larger than the sum of its proper divisors (1).

480312221 is an equidigital number, since it uses as much as digits as its factorization.

480312221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 480312221 is about 21916.0265787391. The cubic root of 480312221 is about 783.1432558679.

The spelling of 480312221 in words is "four hundred eighty million, three hundred twelve thousand, two hundred twenty-one".