243984400 has 135 divisors (see below), whose sum is σ = 653507869. Its totient is φ = 87472000.

The previous prime is 243984397. The next prime is 243984407. The reversal of 243984400 is 4489342.

The square root of 243984400 is 15620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 87834384 + 156150016 = 9372^2 + 12496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (243984407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3436365 + ... + 3436435.

Almost surely, 2^243984400 is an apocalyptic number.

243984400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

243984400 is the 15620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243984400

243984400 is an abundant number, since it is smaller than the sum of its proper divisors (409523469).

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

243984400 is a wasteful number, since it uses less digits than its factorization.

243984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The cubic root of 243984400 is about 624.8666595545.

The spelling of 243984400 in words is "two hundred forty-three million, nine hundred eighty-four thousand, four hundred".