243464144 has 160 divisors (see below), whose sum is σ = 621984000. Its totient is φ = 91445760.

The previous prime is 243464129. The next prime is 243464153. The reversal of 243464144 is 441464342.

It is a happy number.

243464144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 243464144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2233562 + ... + 2233670.

It is an arithmetic number, because the mean of its divisors is an integer number (3887400).

Almost surely, 2^243464144 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 243464144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310992000).

243464144 is an abundant number, since it is smaller than the sum of its proper divisors (378519856).

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

243464144 is a wasteful number, since it uses less digits than its factorization.

243464144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 243464144 is about 15603.3375916821. The cubic root of 243464144 is about 624.4222022175.

The spelling of 243464144 in words is "two hundred forty-three million, four hundred sixty-four thousand, one hundred forty-four".