225456 has 80 divisors (see below), whose sum is σ = 738048. Its totient is φ = 57600.

The previous prime is 225431. The next prime is 225457. The reversal of 225456 is 654522.

225456 is a nontrivial binomial coefficient, being equal to C(672, 2).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225457) by changing a digit.

225456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3666 + ... + 3726.

2²²⁵⁴⁵⁶ is an apocalyptic number.

225456 is the 671-st triangular number and also the 336-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369024).

225456 is an abundant number, since it is smaller than the sum of its proper divisors (512592).

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

225456 is a wasteful number, since it uses less digits than its factorization.

225456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 225456 is about 474.8220719385. The cubic root of 225456 is about 60.8630808828.

Adding to 225456 its reverse (654522), we get a palindrome (879978).

The spelling of 225456 in words is "two hundred twenty-five thousand, four hundred fifty-six".