238395144 has 128 divisors (see below), whose sum is σ = 668787840. Its totient is φ = 70336512.

The previous prime is 238395127. The next prime is 238395191. The reversal of 238395144 is 441593832.

238395144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1235112 + ... + 1235304.

It is an arithmetic number, because the mean of its divisors is an integer number (5224905).

Almost surely, 2^238395144 is an apocalyptic number.

238395144 is a gapful number since it is divisible by the number (24) 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 238395144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334393920).

238395144 is an abundant number, since it is smaller than the sum of its proper divisors (430392696).

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

238395144 is a wasteful number, since it uses less digits than its factorization.

238395144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 355 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 238395144 is about 15440.0499999190. The cubic root of 238395144 is about 620.0582186052.

The spelling of 238395144 in words is "two hundred thirty-eight million, three hundred ninety-five thousand, one hundred forty-four".