238118400 has 480 divisors, whose sum is σ = 959001120. Its totient is φ = 57507840.

The previous prime is 238118389. The next prime is 238118401. The reversal of 238118400 is 4811832.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238118401) 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, 4492774 + ... + 4492826.

It is an arithmetic number, because the mean of its divisors is an integer number (1997919).

Almost surely, 2^238118400 is an apocalyptic number.

238118400 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 238118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479500560).

238118400 is an abundant number, since it is smaller than the sum of its proper divisors (720882720).

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

238118400 is a wasteful number, since it uses less digits than its factorization.

238118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 238118400 is about 15431.0855094514. The cubic root of 238118400 is about 619.8181915756.

The spelling of 238118400 in words is "two hundred thirty-eight million, one hundred eighteen thousand, four hundred".