480822821 has 2 divisors, whose sum is σ = 480822822. Its totient is φ = 480822820.

The previous prime is 480822773. The next prime is 480822833. The reversal of 480822821 is 128228084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 476941921 + 3880900 = 21839^2 + 1970^2 .

It is a cyclic number.

It is not a de Polignac number, because 480822821 - 2⁶ = 480822757 is a prime.

It is a super-3 number, since 3×480822821³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (480822841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240411410 + 240411411.

It is an arithmetic number, because the mean of its divisors is an integer number (240411411).

Almost surely, 2^480822821 is an apocalyptic number.

It is an amenable number.

480822821 is a deficient number, since it is larger than the sum of its proper divisors (1).

480822821 is an equidigital number, since it uses as much as digits as its factorization.

480822821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 480822821 is about 21927.6724939060. The cubic root of 480822821 is about 783.4206666273.

The spelling of 480822821 in words is "four hundred eighty million, eight hundred twenty-two thousand, eight hundred twenty-one".