238848800 has 72 divisors (see below), whose sum is σ = 601961472. Its totient is φ = 92448000.

The previous prime is 238848787. The next prime is 238848811. The reversal of 238848800 is 8848832.

It is a super-2 number, since 2×238848800² = 114097498522880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19985 + ... + 29615.

It is an arithmetic number, because the mean of its divisors is an integer number (8360576).

Almost surely, 2^238848800 is an apocalyptic number.

238848800 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 238848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300980736).

238848800 is an abundant number, since it is smaller than the sum of its proper divisors (363112672).

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

238848800 is a wasteful number, since it uses less digits than its factorization.

238848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9682 (or 9669 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The square root of 238848800 is about 15454.7339025944. The cubic root of 238848800 is about 620.4512843436.

The spelling of 238848800 in words is "two hundred thirty-eight million, eight hundred forty-eight thousand, eight hundred".