238759276900 has 81 divisors (see below), whose sum is σ = 523496307243. Its totient is φ = 94520587200.

The previous prime is 238759276897. The next prime is 238759276909. The reversal of 238759276900 is 9672957832.

The square root of 238759276900 is 488630.

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 2298818916 + 236460457984 = 47946^2 + 486272^2 .

It is a super-2 number, since 2×238759276900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (238759276909) 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, 640105114 + ... + 640105486.

Almost surely, 2^238759276900 is an apocalyptic number.

238759276900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

238759276900 is the 488630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238759276900

238759276900 is an abundant number, since it is smaller than the sum of its proper divisors (284737030343).

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

238759276900 is an equidigital number, since it uses as much as digits as its factorization.

238759276900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 58.

The spelling of 238759276900 in words is "two hundred thirty-eight billion, seven hundred fifty-nine million, two hundred seventy-six thousand, nine hundred".