238705824 has 96 divisors (see below), whose sum is σ = 723413376. Its totient is φ = 67507200.

The previous prime is 238705801. The next prime is 238705829. The reversal of 238705824 is 428507832.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (238705829) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 66114 + ... + 69630.

It is an arithmetic number, because the mean of its divisors is an integer number (7535556).

Almost surely, 2^238705824 is an apocalyptic number.

238705824 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 238705824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361706688).

238705824 is an abundant number, since it is smaller than the sum of its proper divisors (484707552).

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

238705824 is a wasteful number, since it uses less digits than its factorization.

238705824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 238705824 is about 15450.1075724410. The cubic root of 238705824 is about 620.3274579600.

The spelling of 238705824 in words is "two hundred thirty-eight million, seven hundred five thousand, eight hundred twenty-four".