240914144 has 48 divisors (see below), whose sum is σ = 510935040. Its totient is φ = 111492480.

The previous prime is 240914137. The next prime is 240914153. The reversal of 240914144 is 441419042.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 17537 + ... + 28095.

It is an arithmetic number, because the mean of its divisors is an integer number (10644480).

Almost surely, 2^240914144 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 240914144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255467520).

240914144 is an abundant number, since it is smaller than the sum of its proper divisors (270020896).

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

240914144 is a wasteful number, since it uses less digits than its factorization.

240914144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10623 (or 10615 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 240914144 is about 15521.4092143723. The cubic root of 240914144 is about 622.2345176331.

The spelling of 240914144 in words is "two hundred forty million, nine hundred fourteen thousand, one hundred forty-four".