243064800 has 540 divisors, whose sum is σ = 1005748128. Its totient is φ = 57024000.

The previous prime is 243064781. The next prime is 243064807. The reversal of 243064800 is 8460342.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243064807) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7840785 + ... + 7840815.

Almost surely, 2^243064800 is an apocalyptic number.

243064800 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 243064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502874064).

243064800 is an abundant number, since it is smaller than the sum of its proper divisors (762683328).

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

243064800 is a wasteful number, since it uses less digits than its factorization.

243064800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 243064800 is about 15590.5355905434. The cubic root of 243064800 is about 624.0806108877.

It can be divided in two parts, 2430 and 64800, that multiplied together give a cube (157464000 = 540³).

The spelling of 243064800 in words is "two hundred forty-three million, sixty-four thousand, eight hundred".