238011840 has 252 divisors, whose sum is σ = 901168632. Its totient is φ = 57615360.

The previous prime is 238011821. The next prime is 238011857. The reversal of 238011840 is 48110832.

238011840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348139 + ... + 348821.

It is an arithmetic number, because the mean of its divisors is an integer number (3576066).

Almost surely, 2^238011840 is an apocalyptic number.

238011840 is a gapful number since it is divisible by the number (20) 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 238011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450584316).

238011840 is an abundant number, since it is smaller than the sum of its proper divisors (663156792).

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

238011840 is a wasteful number, since it uses less digits than its factorization.

238011840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 238011840 is about 15427.6323523735. The cubic root of 238011840 is about 619.7257198175.

The spelling of 238011840 in words is "two hundred thirty-eight million, eleven thousand, eight hundred forty".