238666400 has 288 divisors, whose sum is σ = 742452480. Its totient is φ = 72990720.

The previous prime is 238666361. The next prime is 238666403. The reversal of 238666400 is 4666832.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238666403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2189546 + ... + 2189654.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^238666400 is an apocalyptic number.

238666400 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 238666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371226240).

238666400 is an abundant number, since it is smaller than the sum of its proper divisors (503786080).

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

238666400 is a wasteful number, since it uses less digits than its factorization.

238666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 238666400 is about 15448.8316710358. The cubic root of 238666400 is about 620.2933055519.

It can be divided in two parts, 2386 and 66400, that added together give a palindrome (68786).

The spelling of 238666400 in words is "two hundred thirty-eight million, six hundred sixty-six thousand, four hundred".