480776129 has 2 divisors, whose sum is σ = 480776130. Its totient is φ = 480776128.

The previous prime is 480776083. The next prime is 480776137. The reversal of 480776129 is 921677084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 477335104 + 3441025 = 21848^2 + 1855^2 .

It is a cyclic number.

It is not a de Polignac number, because 480776129 - 2⁸ = 480775873 is a prime.

It is a super-3 number, since 3×480776129³ (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.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 480776129.

It is not a weakly prime, because it can be changed into another prime (480776159) 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, 240388064 + 240388065.

It is an arithmetic number, because the mean of its divisors is an integer number (240388065).

Almost surely, 2^480776129 is an apocalyptic number.

It is an amenable number.

480776129 is a deficient number, since it is larger than the sum of its proper divisors (1).

480776129 is an equidigital number, since it uses as much as digits as its factorization.

480776129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 480776129 is about 21926.6077859755. The cubic root of 480776129 is about 783.3953068618.

The spelling of 480776129 in words is "four hundred eighty million, seven hundred seventy-six thousand, one hundred twenty-nine".