225468 has 18 divisors (see below), whose sum is σ = 570024. Its totient is φ = 75144.

The previous prime is 225461. The next prime is 225479. The reversal of 225468 is 864522.

225468 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (18).

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 zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225461) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3096 + ... + 3167.

It is an arithmetic number, because the mean of its divisors is an integer number (31668).

2²²⁵⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

225468 is an abundant number, since it is smaller than the sum of its proper divisors (344556).

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

225468 is a wasteful number, since it uses less digits than its factorization.

225468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6273 (or 6268 counting only the distinct ones).

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

The square root of 225468 is about 474.8347080827. The cubic root of 225468 is about 60.8641606855.

The spelling of 225468 in words is "two hundred twenty-five thousand, four hundred sixty-eight".