243984000 has 512 divisors, whose sum is σ = 962357760. Its totient is φ = 54067200.

The previous prime is 243983953. The next prime is 243984001. The reversal of 243984000 is 489342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (243984001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10607989 + ... + 10608011.

It is an arithmetic number, because the mean of its divisors is an integer number (1879605).

Almost surely, 2^243984000 is an apocalyptic number.

243984000 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 243984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481178880).

243984000 is an abundant number, since it is smaller than the sum of its proper divisors (718373760).

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

243984000 is a wasteful number, since it uses less digits than its factorization.

243984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 243984000 is about 15619.9871958974. The cubic root of 243984000 is about 624.8663180753.

The spelling of 243984000 in words is "two hundred forty-three million, nine hundred eighty-four thousand".