240332560 has 80 divisors (see below), whose sum is σ = 605586240. Its totient is φ = 88174080.

The previous prime is 240332549. The next prime is 240332563. The reversal of 240332560 is 65233042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (240332563) 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 15 ways as a sum of consecutive naturals, for example, 185515 + ... + 186805.

It is an arithmetic number, because the mean of its divisors is an integer number (7569828).

Almost surely, 2^240332560 is an apocalyptic number.

240332560 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 240332560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302793120).

240332560 is an abundant number, since it is smaller than the sum of its proper divisors (365253680).

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

240332560 is a wasteful number, since it uses less digits than its factorization.

240332560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 240332560 is about 15502.6629970467. The cubic root of 240332560 is about 621.7334079464.

The spelling of 240332560 in words is "two hundred forty million, three hundred thirty-two thousand, five hundred sixty".