416441 has 2 divisors, whose sum is σ = 416442. Its totient is φ = 416440.

The previous prime is 416419. The next prime is 416443. The reversal of 416441 is 144614.

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., 384400 + 32041 = 620^2 + 179^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-416441 is a prime.

It is a Sophie Germain prime.

Together with 416443, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (416443) 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, 208220 + 208221.

It is an arithmetic number, because the mean of its divisors is an integer number (208221).

2⁴¹⁶⁴⁴¹ is an apocalyptic number.

It is an amenable number.

416441 is a deficient number, since it is larger than the sum of its proper divisors (1).

416441 is an equidigital number, since it uses as much as digits as its factorization.

416441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 384, while the sum is 20.

The square root of 416441 is about 645.3224000451. The cubic root of 416441 is about 74.6765926253.

The spelling of 416441 in words is "four hundred sixteen thousand, four hundred forty-one".