239874652900 has 243 divisors, whose sum is σ = 574682208219. Its totient is φ = 86889116160.

The previous prime is 239874652841. The next prime is 239874652903. The reversal of 239874652900 is 9256478932.

The square root of 239874652900 is 489770.

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 5610908836 + 234263744064 = 74906^2 + 484008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (239874652903) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3580218667 + ... + 3580218733.

Almost surely, 2^239874652900 is an apocalyptic number.

239874652900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

239874652900 is the 489770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239874652900

239874652900 is an abundant number, since it is smaller than the sum of its proper divisors (334807555319).

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

239874652900 is a wasteful number, since it uses less digits than its factorization.

239874652900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 239874652900 in words is "two hundred thirty-nine billion, eight hundred seventy-four million, six hundred fifty-two thousand, nine hundred".