218484 has 72 divisors (see below), whose sum is σ = 687680. Its totient is φ = 58752.

The previous prime is 218479. The next prime is 218509. The reversal of 218484 is 484812.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12844 + ... + 12860.

2²¹⁸⁴⁸⁴ 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 218484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343840).

218484 is an abundant number, since it is smaller than the sum of its proper divisors (469196).

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

218484 is a wasteful number, since it uses less digits than its factorization.

218484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 29 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 218484 is about 467.4227208855. The cubic root of 218484 is about 60.2291239234.

The spelling of 218484 in words is "two hundred eighteen thousand, four hundred eighty-four".