468225 has 18 divisors (see below), whose sum is σ = 839046. Its totient is φ = 249600.

The previous prime is 468199. The next prime is 468239. The reversal of 468225 is 522864.

It can be written as a sum of positive squares in 3 ways, for example, as 16641 + 451584 = 129^2 + 672^2 .

It is not a de Polignac number, because 468225 - 2⁹ = 467713 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 4⁶ + 6⁵ + 2⁷ + 8² + 2¹⁶ + 5⁸ .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 816 + ... + 1265.

2⁴⁶⁸²²⁵ is an apocalyptic number.

468225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

468225 is a deficient number, since it is larger than the sum of its proper divisors (370821).

468225 is a wasteful number, since it uses less digits than its factorization.

468225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2089 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 468225 is about 684.2696836774. The cubic root of 468225 is about 77.6518009784.

The spelling of 468225 in words is "four hundred sixty-eight thousand, two hundred twenty-five".