240376896 has 140 divisors (see below), whose sum is σ = 721941660. Its totient is φ = 79073280.

The previous prime is 240376867. The next prime is 240376909. The reversal of 240376896 is 698673042.

It can be written as a sum of positive squares in 2 ways, for example, as 57153600 + 183223296 = 7560^2 + 13536^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 461116 + ... + 461636.

Almost surely, 2^240376896 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 240376896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360970830).

240376896 is an abundant number, since it is smaller than the sum of its proper divisors (481564764).

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

240376896 is an equidigital number, since it uses as much as digits as its factorization.

240376896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 240376896 is about 15504.0928789788. The cubic root of 240376896 is about 621.7716375805.

The spelling of 240376896 in words is "two hundred forty million, three hundred seventy-six thousand, eight hundred ninety-six".