239678784900 has 81 divisors (see below), whose sum is σ = 751305874501. Its totient is φ = 63910426080.

The previous prime is 239678784887. The next prime is 239678784907. The reversal of 239678784900 is 9487876932.

The square root of 239678784900 is 489570.

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

239678784900 is a `hidden beast` number, since 2 + 3 + 9 + 6 + 78 + 78 + 490 + 0 = 666.

239678784900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 86284362564 + 153394422336 = 293742^2 + 391656^2 .

It is a super-2 number, since 2×239678784900² (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 (239678784907) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 14678941 + ... + 14695259.

Almost surely, 2^239678784900 is an apocalyptic number.

239678784900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

239678784900 is the 489570-th square number.

It is an amenable number.

239678784900 is an abundant number, since it is smaller than the sum of its proper divisors (511627089601).

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

239678784900 is an equidigital number, since it uses as much as digits as its factorization.

239678784900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32658 (or 16329 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 239678784900 in words is "two hundred thirty-nine billion, six hundred seventy-eight million, seven hundred eighty-four thousand, nine hundred".