243258400 has 216 divisors, whose sum is σ = 748077120. Its totient is φ = 75609600.

The previous prime is 243258391. The next prime is 243258403. The reversal of 243258400 is 4852342.

It is a super-3 number, since 3×243258400³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (243258403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 677421 + ... + 677779.

It is an arithmetic number, because the mean of its divisors is an integer number (3463320).

Almost surely, 2^243258400 is an apocalyptic number.

243258400 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 243258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374038560).

243258400 is an abundant number, since it is smaller than the sum of its proper divisors (504818720).

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

243258400 is a wasteful number, since it uses less digits than its factorization.

243258400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 243258400 is about 15596.7432497942. The cubic root of 243258400 is about 624.2462593655.

The spelling of 243258400 in words is "two hundred forty-three million, two hundred fifty-eight thousand, four hundred".