238875600 has 120 divisors (see below), whose sum is σ = 805548640. Its totient is φ = 60341760.

The previous prime is 238875599. The next prime is 238875613. The reversal of 238875600 is 6578832.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17562 + ... + 28038.

Almost surely, 2^238875600 is an apocalyptic number.

238875600 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 238875600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402774320).

238875600 is an abundant number, since it is smaller than the sum of its proper divisors (566673040).

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

238875600 is a wasteful number, since it uses less digits than its factorization.

238875600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10517 (or 10506 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 238875600 is about 15455.6009265250. The cubic root of 238875600 is about 620.4744893622.

The spelling of 238875600 in words is "two hundred thirty-eight million, eight hundred seventy-five thousand, six hundred".