239214240 has 144 divisors (see below), whose sum is σ = 820598688. Its totient is φ = 63456768.

The previous prime is 239214163. The next prime is 239214247. The reversal of 239214240 is 42412932.

239214240 is a `hidden beast` number, since 239 + 2 + 1 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (239214247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407227 + ... + 407813.

It is an arithmetic number, because the mean of its divisors is an integer number (5698602).

Almost surely, 2^239214240 is an apocalyptic number.

239214240 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 239214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410299344).

239214240 is an abundant number, since it is smaller than the sum of its proper divisors (581384448).

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

239214240 is a wasteful number, since it uses less digits than its factorization.

239214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 239214240 is about 15466.5522984277. The cubic root of 239214240 is about 620.7675544119.

The spelling of 239214240 in words is "two hundred thirty-nine million, two hundred fourteen thousand, two hundred forty".