228456 has 48 divisors (see below), whose sum is σ = 655200. Its totient is φ = 71712.

The previous prime is 228451. The next prime is 228457. The reversal of 228456 is 654822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228451) by changing a digit.

228456 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 11 ways as a sum of consecutive naturals, for example, 1285 + ... + 1451.

It is an arithmetic number, because the mean of its divisors is an integer number (13650).

2²²⁸⁴⁵⁶ 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 228456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327600).

228456 is an abundant number, since it is smaller than the sum of its proper divisors (426744).

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

228456 is a wasteful number, since it uses less digits than its factorization.

228456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

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

The square root of 228456 is about 477.9707103997. The cubic root of 228456 is about 61.1318477530.

The spelling of 228456 in words is "two hundred twenty-eight thousand, four hundred fifty-six".