240755424 has 288 divisors, whose sum is σ = 823689216. Its totient is φ = 60963840.

The previous prime is 240755407. The next prime is 240755453. The reversal of 240755424 is 424557042.

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 47 ways as a sum of consecutive naturals, for example, 1895649 + ... + 1895775.

It is an arithmetic number, because the mean of its divisors is an integer number (2860032).

Almost surely, 2^240755424 is an apocalyptic number.

240755424 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 240755424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411844608).

240755424 is an abundant number, since it is smaller than the sum of its proper divisors (582933792).

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

240755424 is a wasteful number, since it uses less digits than its factorization.

240755424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 33.

The square root of 240755424 is about 15516.2954341557. The cubic root of 240755424 is about 622.0978399524.

The spelling of 240755424 in words is "two hundred forty million, seven hundred fifty-five thousand, four hundred twenty-four".