240345040 has 120 divisors (see below), whose sum is σ = 626979960. Its totient is φ = 85542912.

The previous prime is 240345029. The next prime is 240345043. The reversal of 240345040 is 40543042.

It is a happy number.

240345040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 209786256 + 30558784 = 14484^2 + 5528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240345043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391774 + ... + 392386.

It is an arithmetic number, because the mean of its divisors is an integer number (5224833).

Almost surely, 2^240345040 is an apocalyptic number.

240345040 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 240345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313489980).

240345040 is an abundant number, since it is smaller than the sum of its proper divisors (386634920).

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

240345040 is a wasteful number, since it uses less digits than its factorization.

240345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 240345040 is about 15503.0655033126. The cubic root of 240345040 is about 621.7441695603.

Adding to 240345040 its reverse (40543042), we get a palindrome (280888082).

The spelling of 240345040 in words is "two hundred forty million, three hundred forty-five thousand, forty".