238476800 has 120 divisors (see below), whose sum is σ = 610919232. Its totient is φ = 92160000.

The previous prime is 238476743. The next prime is 238476863. The reversal of 238476800 is 8674832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396500 + ... + 397100.

Almost surely, 2^238476800 is an apocalyptic number.

238476800 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 238476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305459616).

238476800 is an abundant number, since it is smaller than the sum of its proper divisors (372442432).

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

238476800 is an equidigital number, since it uses as much as digits as its factorization.

238476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 238476800 is about 15442.6940654796. The cubic root of 238476800 is about 620.1290054136.

The spelling of 238476800 in words is "two hundred thirty-eight million, four hundred seventy-six thousand, eight hundred".