217448 has 32 divisors (see below), whose sum is σ = 509760. Its totient is φ = 84480.

The previous prime is 217439. The next prime is 217457. The reversal of 217448 is 844712.

217448 is digitally balanced in base 3, 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 (217439) and next prime (217457).

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

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

It is a plaindrome in base 15.

It is an unprimeable number.

217448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440 + ... + 792.

It is an arithmetic number, because the mean of its divisors is an integer number (15930).

2²¹⁷⁴⁴⁸ is an apocalyptic number.

217448 is a gapful number since it is divisible by the number (28) 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 217448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254880).

217448 is an abundant number, since it is smaller than the sum of its proper divisors (292312).

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

217448 is a wasteful number, since it uses less digits than its factorization.

217448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its digits is 1792, while the sum is 26.

The square root of 217448 is about 466.3131994701. The cubic root of 217448 is about 60.1337755873.

Subtracting 217448 from its reverse (844712), we obtain a square (627264 = 792²).

It can be divided in two parts, 2174 and 48, that added together give a palindrome (2222).

The spelling of 217448 in words is "two hundred seventeen thousand, four hundred forty-eight".