243120400 has 60 divisors (see below), whose sum is σ = 618472692. Its totient is φ = 91525120.

The previous prime is 243120359. The next prime is 243120413. The reversal of 243120400 is 4021342.

It can be written as a sum of positive squares in 6 ways, for example, as 14868736 + 228251664 = 3856^2 + 15108^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11077 + ... + 24676.

Almost surely, 2^243120400 is an apocalyptic number.

243120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243120400 is an abundant number, since it is smaller than the sum of its proper divisors (375352292).

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

243120400 is a wasteful number, since it uses less digits than its factorization.

243120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35788 (or 35777 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 243120400 is about 15592.3186216804. The cubic root of 243120400 is about 624.1281924881.

Adding to 243120400 its reverse (4021342), we get a palindrome (247141742).

The spelling of 243120400 in words is "two hundred forty-three million, one hundred twenty thousand, four hundred".