417078305849 has 2 divisors, whose sum is σ = 417078305850. Its totient is φ = 417078305848.

The previous prime is 417078305827. The next prime is 417078305873. The reversal of 417078305849 is 948503870714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 345471221824 + 71607084025 = 587768^2 + 267595^2 .

It is a cyclic number.

It is not a de Polignac number, because 417078305849 - 2³² = 412783338553 is a prime.

It is a super-2 number, since 2×417078305849² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 417078305794 and 417078305803.

It is not a weakly prime, because it can be changed into another prime (417078308849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208539152924 + 208539152925.

It is an arithmetic number, because the mean of its divisors is an integer number (208539152925).

Almost surely, 2^417078305849 is an apocalyptic number.

It is an amenable number.

417078305849 is a deficient number, since it is larger than the sum of its proper divisors (1).

417078305849 is an equidigital number, since it uses as much as digits as its factorization.

417078305849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 417078305849 in words is "four hundred seventeen billion, seventy-eight million, three hundred five thousand, eight hundred forty-nine".