243142400 has 54 divisors (see below), whose sum is σ = 601831272. Its totient is φ = 97254400.

The previous prime is 243142399. The next prime is 243142433. The reversal of 243142400 is 4241342.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12596 + ... + 25395.

Almost surely, 2^243142400 is an apocalyptic number.

243142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243142400 is an abundant number, since it is smaller than the sum of its proper divisors (358688872).

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

243142400 is an equidigital number, since it uses as much as digits as its factorization.

243142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38017 (or 37998 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 243142400 is about 15593.0240812999. The cubic root of 243142400 is about 624.1470177369.

Adding to 243142400 its reverse (4241342), we get a palindrome (247383742).

The spelling of 243142400 in words is "two hundred forty-three million, one hundred forty-two thousand, four hundred".