240004560 has 80 divisors (see below), whose sum is σ = 759879936. Its totient is φ = 62636544.

The previous prime is 240004549. The next prime is 240004601. The reversal of 240004560 is 65400042.

It is a happy number.

240004560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642 + ... + 21918.

Almost surely, 2^240004560 is an apocalyptic number.

240004560 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 240004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379939968).

240004560 is an abundant number, since it is smaller than the sum of its proper divisors (519875376).

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

240004560 is a wasteful number, since it uses less digits than its factorization.

240004560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21340 (or 21334 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 240004560 is about 15492.0805574978. The cubic root of 240004560 is about 621.4504369937.

The spelling of 240004560 in words is "two hundred forty million, four thousand, five hundred sixty".