240468960 has 48 divisors (see below), whose sum is σ = 757478736. Its totient is φ = 64124928.

The previous prime is 240468947. The next prime is 240469001. The reversal of 240468960 is 69864042.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 250009 + ... + 250968.

It is an arithmetic number, because the mean of its divisors is an integer number (15780807).

Almost surely, 2^240468960 is an apocalyptic number.

240468960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240468960 is an abundant number, since it is smaller than the sum of its proper divisors (517009776).

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

240468960 is a wasteful number, since it uses less digits than its factorization.

240468960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500995 (or 500987 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 240468960 is about 15507.0616172117. The cubic root of 240468960 is about 621.8510066583.

The spelling of 240468960 in words is "two hundred forty million, four hundred sixty-eight thousand, nine hundred sixty".