238842240 has 256 divisors, whose sum is σ = 937681920. Its totient is φ = 50356224.

The previous prime is 238842223. The next prime is 238842251. The reversal of 238842240 is 42248832.

It is a zygodrome in base 2.

It is a congruent number.

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, 174037 + ... + 175403.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2^238842240 is an apocalyptic number.

238842240 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 238842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468840960).

238842240 is an abundant number, since it is smaller than the sum of its proper divisors (698839680).

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

238842240 is a wasteful number, since it uses less digits than its factorization.

238842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 238842240 is about 15454.5216684309. The cubic root of 238842240 is about 620.4456040447.

The spelling of 238842240 in words is "two hundred thirty-eight million, eight hundred forty-two thousand, two hundred forty".