243130400 has 72 divisors (see below), whose sum is σ = 601211520. Its totient is φ = 95996160.

The previous prime is 243130387. The next prime is 243130409. The reversal of 243130400 is 4031342.

It is a super-2 number, since 2×243130400² = 118224782808320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (243130409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 61277 + ... + 65123.

It is an arithmetic number, because the mean of its divisors is an integer number (8350160).

Almost surely, 2^243130400 is an apocalyptic number.

243130400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300605760).

243130400 is an abundant number, since it is smaller than the sum of its proper divisors (358081120).

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

243130400 is a wasteful number, since it uses less digits than its factorization.

243130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 243130400 is about 15592.6392891005. The cubic root of 243130400 is about 624.1367495602.

Adding to 243130400 its reverse (4031342), we get a palindrome (247161742).

The spelling of 243130400 in words is "two hundred forty-three million, one hundred thirty thousand, four hundred".