240008448 has 144 divisors (see below), whose sum is σ = 699342336. Its totient is φ = 72744960.

The previous prime is 240008443. The next prime is 240008501. The reversal of 240008448 is 844800042.

240008448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×240008448² = 115208110222737408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240008441) 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, 404440 + ... + 405032.

It is an arithmetic number, because the mean of its divisors is an integer number (4856544).

Almost surely, 2^240008448 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 240008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349671168).

240008448 is an abundant number, since it is smaller than the sum of its proper divisors (459333888).

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

240008448 is a wasteful number, since it uses less digits than its factorization.

240008448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 240008448 is about 15492.2060404579. The cubic root of 240008448 is about 621.4537927442.

The spelling of 240008448 in words is "two hundred forty million, eight thousand, four hundred forty-eight".