238806400 has 144 divisors (see below), whose sum is σ = 686691540. Its totient is φ = 81822720.

The previous prime is 238806377. The next prime is 238806413. The reversal of 238806400 is 4608832.

It is a happy number.

238806400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 156039 + ... + 157561.

Almost surely, 2^238806400 is an apocalyptic number.

238806400 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 238806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343345770).

238806400 is an abundant number, since it is smaller than the sum of its proper divisors (447885140).

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

238806400 is a wasteful number, since it uses less digits than its factorization.

238806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 238806400 is about 15453.3620937322. The cubic root of 238806400 is about 620.4145683804.

The spelling of 238806400 in words is "two hundred thirty-eight million, eight hundred six thousand, four hundred".