416804417 has 2 divisors, whose sum is σ = 416804418. Its totient is φ = 416804416.

The previous prime is 416804389. The next prime is 416804431. The reversal of 416804417 is 714408614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 339996721 + 76807696 = 18439^2 + 8764^2 .

It is a cyclic number.

It is not a de Polignac number, because 416804417 - 2⁸ = 416804161 is a prime.

It is not a weakly prime, because it can be changed into another prime (416804467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208402208 + 208402209.

It is an arithmetic number, because the mean of its divisors is an integer number (208402209).

Almost surely, 2^416804417 is an apocalyptic number.

It is an amenable number.

416804417 is a deficient number, since it is larger than the sum of its proper divisors (1).

416804417 is an equidigital number, since it uses as much as digits as its factorization.

416804417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 416804417 is about 20415.7884246482. The cubic root of 416804417 is about 746.9830906904.

The spelling of 416804417 in words is "four hundred sixteen million, eight hundred four thousand, four hundred seventeen".