240505056 has 144 divisors (see below), whose sum is σ = 755380080. Its totient is φ = 71976960.

The previous prime is 240505051. The next prime is 240505061. The reversal of 240505056 is 650505042.

It is an interprime number because it is at equal distance from previous prime (240505051) and next prime (240505061).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240505051) by changing a digit.

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, 281526 + ... + 282378.

It is an arithmetic number, because the mean of its divisors is an integer number (5245695).

Almost surely, 2^240505056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240505056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377690040).

240505056 is an abundant number, since it is smaller than the sum of its proper divisors (514875024).

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

240505056 is a wasteful number, since it uses less digits than its factorization.

240505056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 240505056 is about 15508.2254303966. The cubic root of 240505056 is about 621.8821197673.

The spelling of 240505056 in words is "two hundred forty million, five hundred five thousand, fifty-six".