228420 has 72 divisors (see below), whose sum is σ = 733824. Its totient is φ = 59616.

The previous prime is 228419. The next prime is 228421. The reversal of 228420 is 24822.

228420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228419) and next prime (228421).

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

It is a junction number, because it is equal to n+sod(n) for n = 228393 and 228402.

It is not an unprimeable number, because it can be changed into a prime (228421) 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, 4837 + ... + 4883.

It is an arithmetic number, because the mean of its divisors is an integer number (10192).

2²²⁸⁴²⁰ is an apocalyptic number.

228420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912).

228420 is an abundant number, since it is smaller than the sum of its proper divisors (505404).

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

228420 is a wasteful number, since it uses less digits than its factorization.

228420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 228420 is about 477.9330497047. The cubic root of 228420 is about 61.1286365408.

It can be divided in two parts, 2284 and 20, that added together give a square (2304 = 48²).

The spelling of 228420 in words is "two hundred twenty-eight thousand, four hundred twenty".