459225 has 36 divisors (see below), whose sum is σ = 891436. Its totient is φ = 224640.

The previous prime is 459223. The next prime is 459229. The reversal of 459225 is 522954.

459225 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 6 ways, for example, as 84681 + 374544 = 291^2 + 612^2 .

It is not a de Polignac number, because 459225 - 2¹ = 459223 is a prime.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 459225.

It is not an unprimeable number, because it can be changed into a prime (459223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2847 + ... + 3003.

2⁴⁵⁹²²⁵ is an apocalyptic number.

459225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

459225 is a deficient number, since it is larger than the sum of its proper divisors (432211).

459225 is a wasteful number, since it uses less digits than its factorization.

459225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 459225 is about 677.6614198846. The cubic root of 459225 is about 77.1510499823.

Subtracting from 459225 its product of digits (3600), we obtain a square (455625 = 675²).

The spelling of 459225 in words is "four hundred fifty-nine thousand, two hundred twenty-five".