243120352 has 48 divisors (see below), whose sum is σ = 520128000. Its totient is φ = 111438720.

The previous prime is 243120341. The next prime is 243120359. The reversal of 243120352 is 253021342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243120359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12399 + ... + 25297.

It is an arithmetic number, because the mean of its divisors is an integer number (10836000).

Almost surely, 2^243120352 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 243120352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260064000).

243120352 is an abundant number, since it is smaller than the sum of its proper divisors (277007648).

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

243120352 is a wasteful number, since it uses less digits than its factorization.

243120352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12959 (or 12951 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 243120352 is about 15592.3170824608. The cubic root of 243120352 is about 624.1281514136.

Adding to 243120352 its reverse (253021342), we get a palindrome (496141694).

The spelling of 243120352 in words is "two hundred forty-three million, one hundred twenty thousand, three hundred fifty-two".