416403761 has 2 divisors, whose sum is σ = 416403762. Its totient is φ = 416403760.

The previous prime is 416403683. The next prime is 416403781. The reversal of 416403761 is 167304614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 414529600 + 1874161 = 20360^2 + 1369^2 .

It is a cyclic number.

It is not a de Polignac number, because 416403761 - 2¹⁰ = 416402737 is a prime.

It is not a weakly prime, because it can be changed into another prime (416403781) 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, 208201880 + 208201881.

It is an arithmetic number, because the mean of its divisors is an integer number (208201881).

Almost surely, 2^416403761 is an apocalyptic number.

It is an amenable number.

416403761 is a deficient number, since it is larger than the sum of its proper divisors (1).

416403761 is an equidigital number, since it uses as much as digits as its factorization.

416403761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 416403761 is about 20405.9736596909. The cubic root of 416403761 is about 746.7436664807.

The spelling of 416403761 in words is "four hundred sixteen million, four hundred three thousand, seven hundred sixty-one".