238749504400 has 135 divisors (see below), whose sum is σ = 630765207219. Its totient is φ = 86778912000.

The previous prime is 238749504397. The next prime is 238749504407. The reversal of 238749504400 is 4405947832.

It is a happy number.

The square root of 238749504400 is 488620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 386830224 + 238362674176 = 19668^2 + 488224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (238749504407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 107495290 + ... + 107497510.

Almost surely, 2^238749504400 is an apocalyptic number.

238749504400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

238749504400 is the 488620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238749504400

238749504400 is an abundant number, since it is smaller than the sum of its proper divisors (392015702819).

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

238749504400 is an equidigital number, since it uses as much as digits as its factorization.

238749504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 238749504400 in words is "two hundred thirty-eight billion, seven hundred forty-nine million, five hundred four thousand, four hundred".