240087456 has 288 divisors, whose sum is σ = 837708480. Its totient is φ = 66673152.

The previous prime is 240087451. The next prime is 240087457. The reversal of 240087456 is 654780042.

240087456 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 240087456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240087451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2243755 + ... + 2243861.

It is an arithmetic number, because the mean of its divisors is an integer number (2908710).

Almost surely, 2^240087456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240087456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418854240).

240087456 is an abundant number, since it is smaller than the sum of its proper divisors (597621024).

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

240087456 is a wasteful number, since it uses less digits than its factorization.

240087456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 240087456 is about 15494.7557579976. The cubic root of 240087456 is about 621.5219770587.

The spelling of 240087456 in words is "two hundred forty million, eighty-seven thousand, four hundred fifty-six".