220448 has 18 divisors (see below), whose sum is σ = 439299. Its totient is φ = 108896.

The previous prime is 220447. The next prime is 220469. The reversal of 220448 is 844022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

220448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 110224 + 110224 = 332^2 + 332^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220447) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2615 + ... + 2697.

2²²⁰⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

220448 is a deficient number, since it is larger than the sum of its proper divisors (218851).

220448 is an frugal number, since it uses more digits than its factorization.

220448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 220448 is about 469.5189027079. The cubic root of 220448 is about 60.4090567242.

Multiplying 220448 by its product of nonzero digits (512), we get a square (112869376 = 10624²).

The spelling of 220448 in words is "two hundred twenty thousand, four hundred forty-eight".