238632144 has 40 divisors (see below), whose sum is σ = 617118240. Its totient is φ = 79459968.

The previous prime is 238632143. The next prime is 238632169. The reversal of 238632144 is 441236832.

238632144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238632143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57367 + ... + 61385.

It is an arithmetic number, because the mean of its divisors is an integer number (15427956).

Almost surely, 2^238632144 is an apocalyptic number.

238632144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

238632144 is an abundant number, since it is smaller than the sum of its proper divisors (378486096).

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

238632144 is a wasteful number, since it uses less digits than its factorization.

238632144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5267 (or 5261 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 238632144 is about 15447.7229389965. The cubic root of 238632144 is about 620.2636270492.

Adding to 238632144 its reverse (441236832), we get a palindrome (679868976).

The spelling of 238632144 in words is "two hundred thirty-eight million, six hundred thirty-two thousand, one hundred forty-four".