238444832 has 36 divisors (see below), whose sum is σ = 495469926. Its totient is φ = 112942080.

The previous prime is 238444823. The next prime is 238444837.

238444832 is nontrivially palindromic in base 10.

238444832 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., 228735376 + 9709456 = 15124^2 + 3116^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (238444837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1232 + ... + 21872.

Almost surely, 2^238444832 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 238444832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247734963).

238444832 is an abundant number, since it is smaller than the sum of its proper divisors (257025094).

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

238444832 is a wasteful number, since it uses less digits than its factorization.

238444832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20689 (or 20662 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The square root of 238444832 is about 15441.6589782316. The cubic root of 238444832 is about 620.1012945840.

The spelling of 238444832 in words is "two hundred thirty-eight million, four hundred forty-four thousand, eight hundred thirty-two".