240406240 has 96 divisors (see below), whose sum is σ = 617379840. Its totient is φ = 88128000.

The previous prime is 240406237. The next prime is 240406241. The reversal of 240406240 is 42604042.

240406240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240406241) 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, 92965 + ... + 95515.

It is an arithmetic number, because the mean of its divisors is an integer number (6431040).

Almost surely, 2^240406240 is an apocalyptic number.

240406240 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 240406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308689920).

240406240 is an abundant number, since it is smaller than the sum of its proper divisors (376973600).

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

240406240 is a wasteful number, since it uses less digits than its factorization.

240406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 240406240 is about 15505.0391808599. The cubic root of 240406240 is about 621.7969374670.

The spelling of 240406240 in words is "two hundred forty million, four hundred six thousand, two hundred forty".