416223 has 12 divisors (see below), whose sum is σ = 608400. Its totient is φ = 274176.

The previous prime is 416219. The next prime is 416239. The reversal of 416223 is 322614.

It is a happy number.

416223 is a `hidden beast` number, since 41 + 622 + 3 = 666.

It is not a de Polignac number, because 416223 - 2² = 416219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 416196 and 416205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 703 + ... + 1151.

It is an arithmetic number, because the mean of its divisors is an integer number (50700).

2⁴¹⁶²²³ is an apocalyptic number.

416223 is a deficient number, since it is larger than the sum of its proper divisors (192177).

416223 is a wasteful number, since it uses less digits than its factorization.

416223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 555 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 416223 is about 645.1534701139. The cubic root of 416223 is about 74.6635596957.

Adding to 416223 its reverse (322614), we get a palindrome (738837).

The spelling of 416223 in words is "four hundred sixteen thousand, two hundred twenty-three".