238288320 has 336 divisors, whose sum is σ = 901525248. Its totient is φ = 57507840.

The previous prime is 238288313. The next prime is 238288321. The reversal of 238288320 is 23882832.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238288321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1517682 + ... + 1517838.

Almost surely, 2^238288320 is an apocalyptic number.

238288320 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 238288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450762624).

238288320 is an abundant number, since it is smaller than the sum of its proper divisors (663236928).

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

238288320 is a wasteful number, since it uses less digits than its factorization.

238288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 238288320 is about 15436.5902970831. The cubic root of 238288320 is about 619.9655894881.

The spelling of 238288320 in words is "two hundred thirty-eight million, two hundred eighty-eight thousand, three hundred twenty".