225450 has 48 divisors (see below), whose sum is σ = 624960. Its totient is φ = 59760.

The previous prime is 225431. The next prime is 225457. The reversal of 225450 is 54522.

225450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (225457) 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, 1267 + ... + 1433.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2²²⁵⁴⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480).

225450 is an abundant number, since it is smaller than the sum of its proper divisors (399510).

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

225450 is a wasteful number, since it uses less digits than its factorization.

225450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 225450 is about 474.8157537403. The cubic root of 225450 is about 60.8625409670.

Adding to 225450 its reverse (54522), we get a palindrome (279972).

It can be divided in two parts, 2254 and 50, that added together give a square (2304 = 48²).

The spelling of 225450 in words is "two hundred twenty-five thousand, four hundred fifty".