243134400 has 168 divisors, whose sum is σ = 819840880. Its totient is φ = 63083520.

The previous prime is 243134369. The next prime is 243134401. The reversal of 243134400 is 4431342.

It is a super-2 number, since 2×243134400² = 118228672926720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243134401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6571182 + ... + 6571218.

Almost surely, 2^243134400 is an apocalyptic number.

243134400 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 243134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409920440).

243134400 is an abundant number, since it is smaller than the sum of its proper divisors (576706480).

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

243134400 is an frugal number, since it uses more digits than its factorization.

243134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 243134400 is about 15592.7675542221. The cubic root of 243134400 is about 624.1401723233.

Adding to 243134400 its reverse (4431342), we get a palindrome (247565742).

The spelling of 243134400 in words is "two hundred forty-three million, one hundred thirty-four thousand, four hundred".