243282400 has 72 divisors (see below), whose sum is σ = 610039080. Its totient is φ = 94671360.

The previous prime is 243282373. The next prime is 243282419. The reversal of 243282400 is 4282342.

243282400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×243282400² = 118372652299520000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25491 + ... + 33709.

It is an arithmetic number, because the mean of its divisors is an integer number (8472765).

Almost surely, 2^243282400 is an apocalyptic number.

243282400 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 243282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305019540).

243282400 is an abundant number, since it is smaller than the sum of its proper divisors (366756680).

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

243282400 is a wasteful number, since it uses less digits than its factorization.

243282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8276 (or 8263 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 243282400 is about 15597.5126222100. The cubic root of 243282400 is about 624.2667881770.

The spelling of 243282400 in words is "two hundred forty-three million, two hundred eighty-two thousand, four hundred".