228480 has 128 divisors (see below), whose sum is σ = 881280. Its totient is φ = 49152.

The previous prime is 228479. The next prime is 228509. The reversal of 228480 is 84822.

228480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×228480² = 104406220800, which contains 22 as substring.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 228480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13432 + ... + 13448.

It is an arithmetic number, because the mean of its divisors is an integer number (6885).

2²²⁸⁴⁸⁰ is an apocalyptic number.

228480 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 228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640).

228480 is an abundant number, since it is smaller than the sum of its proper divisors (652800).

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

228480 is a wasteful number, since it uses less digits than its factorization.

228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 228480 is about 477.9958158813. The cubic root of 228480 is about 61.1339883738.

It can be divided in two parts, 2 and 28480, that added together give a palindrome (28482).

The spelling of 228480 in words is "two hundred twenty-eight thousand, four hundred eighty".