225432 has 48 divisors (see below), whose sum is σ = 636480. Its totient is φ = 72000.

The previous prime is 225431. The next prime is 225457. The reversal of 225432 is 234522.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225432.

It is not an unprimeable number, because it can be changed into a prime (225431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2182 + ... + 2282.

It is an arithmetic number, because the mean of its divisors is an integer number (13260).

2²²⁵⁴³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318240).

225432 is an abundant number, since it is smaller than the sum of its proper divisors (411048).

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

225432 is a wasteful number, since it uses less digits than its factorization.

225432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 137 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 225432 is about 474.7967986413. The cubic root of 225432 is about 60.8609211623.

Adding to 225432 its reverse (234522), we get a palindrome (459954).

The spelling of 225432 in words is "two hundred twenty-five thousand, four hundred thirty-two".