240839424 has 216 divisors, whose sum is σ = 806725920. Its totient is φ = 67682304.

The previous prime is 240839419. The next prime is 240839437. The reversal of 240839424 is 424938042.

240839424 is a `hidden beast` number, since 240 + 8 + 394 + 24 = 666.

240839424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1757884 + ... + 1758020.

Almost surely, 2^240839424 is an apocalyptic number.

240839424 is a gapful number since it is divisible by the number (24) 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 240839424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403362960).

240839424 is an abundant number, since it is smaller than the sum of its proper divisors (565886496).

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

240839424 is a wasteful number, since it uses less digits than its factorization.

240839424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 240839424 is about 15519.0020297698. The cubic root of 240839424 is about 622.1701818910.

The spelling of 240839424 in words is "two hundred forty million, eight hundred thirty-nine thousand, four hundred twenty-four".