238585824 has 120 divisors (see below), whose sum is σ = 710768520. Its totient is φ = 78499584.

The previous prime is 238585817. The next prime is 238585859. The reversal of 238585824 is 428585832.

238585824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 238585824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 214582 + ... + 215690.

It is an arithmetic number, because the mean of its divisors is an integer number (5923071).

Almost surely, 2^238585824 is an apocalyptic number.

238585824 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 238585824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355384260).

238585824 is an abundant number, since it is smaller than the sum of its proper divisors (472182696).

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

238585824 is a wasteful number, since it uses less digits than its factorization.

238585824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1197 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 238585824 is about 15446.2236161464. The cubic root of 238585824 is about 620.2234920952.

It can be divided in two parts, 2385 and 85824, that added together give a square (88209 = 297²).

The spelling of 238585824 in words is "two hundred thirty-eight million, five hundred eighty-five thousand, eight hundred twenty-four".