238102400 has 96 divisors (see below), whose sum is σ = 604384680. Its totient is φ = 92620800.

The previous prime is 238102393. The next prime is 238102409. The reversal of 238102400 is 4201832.

238102400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238102409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117395 + ... + 119405.

Almost surely, 2^238102400 is an apocalyptic number.

238102400 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 238102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302192340).

238102400 is an abundant number, since it is smaller than the sum of its proper divisors (366282280).

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

238102400 is a wasteful number, since it uses less digits than its factorization.

238102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 238102400 is about 15430.5670667024. The cubic root of 238102400 is about 619.8043086877.

The spelling of 238102400 in words is "two hundred thirty-eight million, one hundred two thousand, four hundred".