238952 has 32 divisors (see below), whose sum is σ = 544320. Its totient is φ = 96000.

The previous prime is 238949. The next prime is 238967. The reversal of 238952 is 259832.

238952 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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 827 + ... + 1077.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2²³⁸⁹⁵² 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 238952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

238952 is an abundant number, since it is smaller than the sum of its proper divisors (305368).

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

238952 is a wasteful number, since it uses less digits than its factorization.

238952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 277 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 238952 is about 488.8271678211. The cubic root of 238952 is about 62.0540631457.

It can be divided in two parts, 238 and 952, that multiplied together give a square (226576 = 476²).

The spelling of 238952 in words is "two hundred thirty-eight thousand, nine hundred fifty-two".