238532936400 has 960 divisors, whose sum is σ = 993176432640. Its totient is φ = 53731123200.

The previous prime is 238532936339. The next prime is 238532936489. The reversal of 238532936400 is 4639235832.

238532936400 is a `hidden beast` number, since 23 + 8 + 532 + 93 + 6 + 4 + 0 + 0 = 666.

238532936400 is digitally balanced in base 2, 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 167626089 + ... + 167627511.

It is an arithmetic number, because the mean of its divisors is an integer number (1034558784).

Almost surely, 2^238532936400 is an apocalyptic number.

238532936400 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 238532936400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496588216320).

238532936400 is an abundant number, since it is smaller than the sum of its proper divisors (754643496240).

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

238532936400 is a wasteful number, since it uses less digits than its factorization.

238532936400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 238532936400 in words is "two hundred thirty-eight billion, five hundred thirty-two million, nine hundred thirty-six thousand, four hundred".