240825456 has 240 divisors, whose sum is σ = 766022400. Its totient is φ = 70253568.

The previous prime is 240825449. The next prime is 240825461. The reversal of 240825456 is 654528042.

It is a happy number.

240825456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 240825456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2705860 + ... + 2705948.

It is an arithmetic number, because the mean of its divisors is an integer number (3191760).

Almost surely, 2^240825456 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 240825456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383011200).

240825456 is an abundant number, since it is smaller than the sum of its proper divisors (525196944).

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

240825456 is a wasteful number, since it uses less digits than its factorization.

240825456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 240825456 is about 15518.5519943067. The cubic root of 240825456 is about 622.1581536262.

The spelling of 240825456 in words is "two hundred forty million, eight hundred twenty-five thousand, four hundred fifty-six".