243032400 has 300 divisors, whose sum is σ = 940945852. Its totient is φ = 59719680.

The previous prime is 243032393. The next prime is 243032429. The reversal of 243032400 is 4230342.

It can be written as a sum of positive squares in 6 ways, for example, as 46656 + 242985744 = 216^2 + 15588^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 59 ways as a sum of consecutive naturals, for example, 420912 + ... + 421488.

Almost surely, 2^243032400 is an apocalyptic number.

243032400 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 243032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470472926).

243032400 is an abundant number, since it is smaller than the sum of its proper divisors (697913452).

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

243032400 is a wasteful number, since it uses less digits than its factorization.

243032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 243032400 is about 15589.4964639657. The cubic root of 243032400 is about 624.0528801340.

Adding to 243032400 its reverse (4230342), we get a palindrome (247262742).

The spelling of 243032400 in words is "two hundred forty-three million, thirty-two thousand, four hundred".