243642400 has 36 divisors (see below), whose sum is σ = 594793962. Its totient is φ = 97456640.

The previous prime is 243642389. The next prime is 243642403. The reversal of 243642400 is 4246342.

It can be written as a sum of positive squares in 3 ways, for example, as 164147344 + 79495056 = 12812^2 + 8916^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (243642403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 151477 + ... + 153076.

Almost surely, 2^243642400 is an apocalyptic number.

243642400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243642400 is an abundant number, since it is smaller than the sum of its proper divisors (351151562).

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

243642400 is a wasteful number, since it uses less digits than its factorization.

243642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304573 (or 304560 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 243642400 is about 15609.0486577498. The cubic root of 243642400 is about 624.5745584649.

Adding to 243642400 its reverse (4246342), we get a palindrome (247888742).

The spelling of 243642400 in words is "two hundred forty-three million, six hundred forty-two thousand, four hundred".