239878144 has 75 divisors (see below), whose sum is σ = 527712535. Its totient is φ = 109035520.

The previous prime is 239878139. The next prime is 239878189. The reversal of 239878144 is 441878932.

The square root of 239878144 is 15488.

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

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=88.

It is a Duffinian number.

Its product of digits (387072) is a multiple of the sum of its prime factors (72).

It is a junction number, because it is equal to n+sod(n) for n = 239878094 and 239878103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 21807099 + ... + 21807109.

Almost surely, 2^239878144 is an apocalyptic number.

239878144 is the 15488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239878144

239878144 is an abundant number, since it is smaller than the sum of its proper divisors (287834391).

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

239878144 is an frugal number, since it uses more digits than its factorization.

239878144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 13 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The cubic root of 239878144 is about 621.3413070174.

It can be divided in two parts, 23987 and 8144, that added together give a triangular number (32131 = T₂₅₃).

The spelling of 239878144 in words is "two hundred thirty-nine million, eight hundred seventy-eight thousand, one hundred forty-four".