417223225 has 24 divisors (see below), whose sum is σ = 529941528. Its totient is φ = 325747200.

The previous prime is 417223181. The next prime is 417223229. The reversal of 417223225 is 522322714.

It can be written as a sum of positive squares in 12 ways, for example, as 333464121 + 83759104 = 18261^2 + 9152^2 .

It is not a de Polignac number, because 417223225 - 2⁷ = 417223097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 417223193 and 417223202.

It is not an unprimeable number, because it can be changed into a prime (417223229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207927 + ... + 209923.

It is an arithmetic number, because the mean of its divisors is an integer number (22080897).

Almost surely, 2^417223225 is an apocalyptic number.

It is an amenable number.

417223225 is a deficient number, since it is larger than the sum of its proper divisors (112718303).

417223225 is a wasteful number, since it uses less digits than its factorization.

417223225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2200 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 417223225 is about 20426.0428130365. The cubic root of 417223225 is about 747.2331982212.

Adding to 417223225 its reverse (522322714), we get a palindrome (939545939).

The spelling of 417223225 in words is "four hundred seventeen million, two hundred twenty-three thousand, two hundred twenty-five".