461457517 has 2 divisors, whose sum is σ = 461457518. Its totient is φ = 461457516.

The previous prime is 461457461. The next prime is 461457527. The reversal of 461457517 is 715754164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 452583076 + 8874441 = 21274^2 + 2979^2 .

It is a cyclic number.

It is not a de Polignac number, because 461457517 - 2¹¹ = 461455469 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 461457517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (461457527) 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, 230728758 + 230728759.

It is an arithmetic number, because the mean of its divisors is an integer number (230728759).

Almost surely, 2^461457517 is an apocalyptic number.

It is an amenable number.

461457517 is a deficient number, since it is larger than the sum of its proper divisors (1).

461457517 is an equidigital number, since it uses as much as digits as its factorization.

461457517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 117600, while the sum is 40.

The square root of 461457517 is about 21481.5622569682. The cubic root of 461457517 is about 772.7587090606.

The spelling of 461457517 in words is "four hundred sixty-one million, four hundred fifty-seven thousand, five hundred seventeen".