238448 has 20 divisors (see below), whose sum is σ = 528240. Its totient is φ = 102144.

The previous prime is 238439. The next prime is 238451. The reversal of 238448 is 844832.

238448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 238448.

It is a congruent number.

It is an unprimeable number.

238448 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 3 ways as a sum of consecutive naturals, for example, 953 + ... + 1176.

It is an arithmetic number, because the mean of its divisors is an integer number (26412).

2²³⁸⁴⁴⁸ is an apocalyptic number.

238448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

238448 is an abundant number, since it is smaller than the sum of its proper divisors (289792).

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

238448 is a wasteful number, since it uses less digits than its factorization.

238448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2138 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 238448 is about 488.3113760706. The cubic root of 238448 is about 62.0104040813.

It can be divided in two parts, 238 and 448, that added together give a palindrome (686).

The spelling of 238448 in words is "two hundred thirty-eight thousand, four hundred forty-eight".