480957677 has 2 divisors, whose sum is σ = 480957678. Its totient is φ = 480957676.

The previous prime is 480957649. The next prime is 480957683. The reversal of 480957677 is 776759084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 438525481 + 42432196 = 20941^2 + 6514^2 .

It is a cyclic number.

It is not a de Polignac number, because 480957677 - 2⁶ = 480957613 is a prime.

It is a super-3 number, since 3×480957677³ (a number of 27 digits) contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (480957637) 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, 240478838 + 240478839.

It is an arithmetic number, because the mean of its divisors is an integer number (240478839).

Almost surely, 2^480957677 is an apocalyptic number.

It is an amenable number.

480957677 is a deficient number, since it is larger than the sum of its proper divisors (1).

480957677 is an equidigital number, since it uses as much as digits as its factorization.

480957677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2963520, while the sum is 53.

The square root of 480957677 is about 21930.7472968889. The cubic root of 480957677 is about 783.4939015746.

The spelling of 480957677 in words is "four hundred eighty million, nine hundred fifty-seven thousand, six hundred seventy-seven".