243264000 has 320 divisors, whose sum is σ = 929440512. Its totient is φ = 55296000.

The previous prime is 243263981. The next prime is 243264013. The reversal of 243264000 is 462342.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343910 + ... + 1344090.

Almost surely, 2^243264000 is an apocalyptic number.

243264000 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 243264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464720256).

243264000 is an abundant number, since it is smaller than the sum of its proper divisors (686176512).

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

243264000 is an equidigital number, since it uses as much as digits as its factorization.

243264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

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

The square root of 243264000 is about 15596.9227734191. The cubic root of 243264000 is about 624.2510495423.

The spelling of 243264000 in words is "two hundred forty-three million, two hundred sixty-four thousand".