417228 has 24 divisors (see below), whose sum is σ = 1112832. Its totient is φ = 119184.

The previous prime is 417227. The next prime is 417239. The reversal of 417228 is 822714.

It is a junction number, because it is equal to n+sod(n) for n = 417198 and 417207.

It is not an unprimeable number, because it can be changed into a prime (417227) 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 in 7 ways as a sum of consecutive naturals, for example, 2400 + ... + 2567.

It is an arithmetic number, because the mean of its divisors is an integer number (46368).

2⁴¹⁷²²⁸ is an apocalyptic number.

It is an amenable number.

417228 is an abundant number, since it is smaller than the sum of its proper divisors (695604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

417228 is a wasteful number, since it uses less digits than its factorization.

417228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981 (or 4979 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 417228 is about 645.9318849538. The cubic root of 417228 is about 74.7236048833.

The spelling of 417228 in words is "four hundred seventeen thousand, two hundred twenty-eight".