238743648 has 432 divisors, whose sum is σ = 878387328. Its totient is φ = 60825600.

The previous prime is 238743629. The next prime is 238743667. The reversal of 238743648 is 846347832.

238743648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (238743629) and next prime (238743667).

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 71 ways as a sum of consecutive naturals, for example, 7701393 + ... + 7701423.

It is an arithmetic number, because the mean of its divisors is an integer number (2033304).

Almost surely, 2^238743648 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 238743648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439193664).

238743648 is an abundant number, since it is smaller than the sum of its proper divisors (639643680).

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

238743648 is a wasteful number, since it uses less digits than its factorization.

238743648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 238743648 is about 15451.3315931023. The cubic root of 238743648 is about 620.3602207783.

The spelling of 238743648 in words is "two hundred thirty-eight million, seven hundred forty-three thousand, six hundred forty-eight".