238144320 has 224 divisors, whose sum is σ = 860999040. Its totient is φ = 61931520.

The previous prime is 238144307. The next prime is 238144327. The reversal of 238144320 is 23441832.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238144327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371200 + ... + 371840.

Almost surely, 2^238144320 is an apocalyptic number.

238144320 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 238144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430499520).

238144320 is an abundant number, since it is smaller than the sum of its proper divisors (622854720).

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

238144320 is a wasteful number, since it uses less digits than its factorization.

238144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 238144320 is about 15431.9253497417. The cubic root of 238144320 is about 619.8406805344.

The spelling of 238144320 in words is "two hundred thirty-eight million, one hundred forty-four thousand, three hundred twenty".