239882240 has 208 divisors, whose sum is σ = 668778768. Its totient is φ = 81788928.

The previous prime is 239882231. The next prime is 239882263. The reversal of 239882240 is 42288932.

It can be written as a sum of positive squares in 8 ways, for example, as 4096 + 239878144 = 64^2 + 15488^2 .

It is a tau number, because it is divible by the number of its divisors (208).

It is a junction number, because it is equal to n+sod(n) for n = 239882194 and 239882203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4526054 + ... + 4526106.

Almost surely, 2^239882240 is an apocalyptic number.

239882240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334389384).

239882240 is an abundant number, since it is smaller than the sum of its proper divisors (428896528).

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

239882240 is a wasteful number, since it uses less digits than its factorization.

239882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 239882240 is about 15488.1322308405. The cubic root of 239882240 is about 621.3448435345.

The spelling of 239882240 in words is "two hundred thirty-nine million, eight hundred eighty-two thousand, two hundred forty".