240045648 has 80 divisors (see below), whose sum is σ = 643339776. Its totient is φ = 77045760.

The previous prime is 240045643. The next prime is 240045649. The reversal of 240045648 is 846540042.

240045648 is digitally balanced in base 2 and base 3, because in such bases 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 (240045643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525036 + ... + 525492.

Almost surely, 2^240045648 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 240045648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321669888).

240045648 is an abundant number, since it is smaller than the sum of its proper divisors (403294128).

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

240045648 is a wasteful number, since it uses less digits than its factorization.

240045648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 240045648 is about 15493.4065976466. The cubic root of 240045648 is about 621.4858984013.

The spelling of 240045648 in words is "two hundred forty million, forty-five thousand, six hundred forty-eight".