238278400 has 108 divisors (see below), whose sum is σ = 609308224. Its totient is φ = 92160000.

The previous prime is 238278353. The next prime is 238278451. The reversal of 238278400 is 4872832.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

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, 197800 + ... + 199000.

Almost surely, 2^238278400 is an apocalyptic number.

238278400 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 238278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304654112).

238278400 is an abundant number, since it is smaller than the sum of its proper divisors (371029824).

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

238278400 is a wasteful number, since it uses less digits than its factorization.

238278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 238278400 is about 15436.2689792579. The cubic root of 238278400 is about 619.9569862632.

The spelling of 238278400 in words is "two hundred thirty-eight million, two hundred seventy-eight thousand, four hundred".