238813056 has 128 divisors (see below), whose sum is σ = 721670400. Its totient is φ = 77704704.

The previous prime is 238813049. The next prime is 238813067. The reversal of 238813056 is 650318832.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 238813056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147805 + ... + 149411.

It is an arithmetic number, because the mean of its divisors is an integer number (5638050).

Almost surely, 2^238813056 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 238813056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360835200).

238813056 is an abundant number, since it is smaller than the sum of its proper divisors (482857344).

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

238813056 is a wasteful number, since it uses less digits than its factorization.

238813056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 238813056 is about 15453.5774498981. The cubic root of 238813056 is about 620.4203323814.

The spelling of 238813056 in words is "two hundred thirty-eight million, eight hundred thirteen thousand, fifty-six".