238245427200 has 864 divisors, whose sum is σ = 891629182080. Its totient is φ = 55649894400.

The previous prime is 238245427183. The next prime is 238245427223. The reversal of 238245427200 is 2724542832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2313062349 + ... + 2313062451.

It is an arithmetic number, because the mean of its divisors is an integer number (1031978220).

Almost surely, 2^238245427200 is an apocalyptic number.

238245427200 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 238245427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445814591040).

238245427200 is an abundant number, since it is smaller than the sum of its proper divisors (653383754880).

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

238245427200 is a wasteful number, since it uses less digits than its factorization.

238245427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The spelling of 238245427200 in words is "two hundred thirty-eight billion, two hundred forty-five million, four hundred twenty-seven thousand, two hundred".