240824416 has 96 divisors (see below), whose sum is σ = 568814400. Its totient is φ = 100251648.

The previous prime is 240824413. The next prime is 240824429. The reversal of 240824416 is 614428042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240824413) 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, 405816 + ... + 406408.

It is an arithmetic number, because the mean of its divisors is an integer number (5925150).

Almost surely, 2^240824416 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 240824416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284407200).

240824416 is an abundant number, since it is smaller than the sum of its proper divisors (327989984).

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

240824416 is an equidigital number, since it uses as much as digits as its factorization.

240824416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 240824416 is about 15518.5184859896. The cubic root of 240824416 is about 622.1572580324.

The spelling of 240824416 in words is "two hundred forty million, eight hundred twenty-four thousand, four hundred sixteen".