413444257 has 2 divisors, whose sum is σ = 413444258. Its totient is φ = 413444256.

The previous prime is 413444243. The next prime is 413444261. The reversal of 413444257 is 752444314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 408080401 + 5363856 = 20201^2 + 2316^2 .

It is a cyclic number.

It is not a de Polignac number, because 413444257 - 2¹⁵ = 413411489 is a prime.

It is not a weakly prime, because it can be changed into another prime (413444357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206722128 + 206722129.

It is an arithmetic number, because the mean of its divisors is an integer number (206722129).

Almost surely, 2^413444257 is an apocalyptic number.

It is an amenable number.

413444257 is a deficient number, since it is larger than the sum of its proper divisors (1).

413444257 is an equidigital number, since it uses as much as digits as its factorization.

413444257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 53760, while the sum is 34.

The square root of 413444257 is about 20333.3287240432. The cubic root of 413444257 is about 744.9703497051.

The spelling of 413444257 in words is "four hundred thirteen million, four hundred forty-four thousand, two hundred fifty-seven".