240243360 has 192 divisors, whose sum is σ = 873234432. Its totient is φ = 54383616.

The previous prime is 240243319. The next prime is 240243373. The reversal of 240243360 is 63342042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 240243360.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426439 + ... + 427001.

It is an arithmetic number, because the mean of its divisors is an integer number (4548096).

Almost surely, 2^240243360 is an apocalyptic number.

240243360 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 240243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436617216).

240243360 is an abundant number, since it is smaller than the sum of its proper divisors (632991072).

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

240243360 is a wasteful number, since it uses less digits than its factorization.

240243360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 240243360 is about 15499.7858049716. The cubic root of 240243360 is about 621.6564791516.

The spelling of 240243360 in words is "two hundred forty million, two hundred forty-three thousand, three hundred sixty".