218448 has 60 divisors (see below), whose sum is σ = 643188. Its totient is φ = 69120.

The previous prime is 218447. The next prime is 218453. The reversal of 218448 is 844812.

218448 is a `hidden beast` number, since 218 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 121104 = 312^2 + 348^2 .

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 4 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5308 + ... + 5348.

2²¹⁸⁴⁴⁸ 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 218448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321594).

218448 is an abundant number, since it is smaller than the sum of its proper divisors (424740).

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

218448 is a wasteful number, since it uses less digits than its factorization.

218448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

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

The square root of 218448 is about 467.3842102596. The cubic root of 218448 is about 60.2258157215.

It can be divided in two parts, 218 and 448, that added together give a palindrome (666).

The spelling of 218448 in words is "two hundred eighteen thousand, four hundred forty-eight".