243315000 has 120 divisors (see below), whose sum is σ = 823611360. Its totient is φ = 64872000.

The previous prime is 243314977. The next prime is 243315013. The reversal of 243315000 is 513342.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 42297 + ... + 47703.

It is an arithmetic number, because the mean of its divisors is an integer number (6863428).

Almost surely, 2^243315000 is an apocalyptic number.

243315000 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 243315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411805680).

243315000 is an abundant number, since it is smaller than the sum of its proper divisors (580296360).

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

243315000 is a wasteful number, since it uses less digits than its factorization.

243315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 243315000 is about 15598.5576256268. The cubic root of 243315000 is about 624.2946709837.

Adding to 243315000 its reverse (513342), we get a palindrome (243828342).

The spelling of 243315000 in words is "two hundred forty-three million, three hundred fifteen thousand".