416413 has 2 divisors, whose sum is σ = 416414. Its totient is φ = 416412.

The previous prime is 416407. The next prime is 416417. The reversal of 416413 is 314614.

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., 273529 + 142884 = 523^2 + 378^2 .

It is a cyclic number.

It is not a de Polignac number, because 416413 - 2⁹ = 415901 is a prime.

416413 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416417) 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, 208206 + 208207.

It is an arithmetic number, because the mean of its divisors is an integer number (208207).

2⁴¹⁶⁴¹³ is an apocalyptic number.

It is an amenable number.

416413 is a deficient number, since it is larger than the sum of its proper divisors (1).

416413 is an equidigital number, since it uses as much as digits as its factorization.

416413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 19.

The square root of 416413 is about 645.3007050980. The cubic root of 416413 is about 74.6749189256.

The spelling of 416413 in words is "four hundred sixteen thousand, four hundred thirteen".