400000000417 has 2 divisors, whose sum is σ = 400000000418. Its totient is φ = 400000000416.

The previous prime is 400000000339. The next prime is 400000000423. The reversal of 400000000417 is 714000000004.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 347892350976 + 52107649441 = 589824^2 + 228271^2 .

It is a cyclic number.

It is not a de Polignac number, because 400000000417 - 2⁷ = 400000000289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 400000000417.

It is not a weakly prime, because it can be changed into another prime (400000060417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200000000208 + 200000000209.

It is an arithmetic number, because the mean of its divisors is an integer number (200000000209).

Almost surely, 2^400000000417 is an apocalyptic number.

It is an amenable number.

400000000417 is a deficient number, since it is larger than the sum of its proper divisors (1).

400000000417 is an equidigital number, since it uses as much as digits as its factorization.

400000000417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 16.

The spelling of 400000000417 in words is "four hundred billion, four hundred seventeen", and thus it is an aban number.