243531360 has 480 divisors, whose sum is σ = 965986560. Its totient is φ = 57480192.

The previous prime is 243531359. The next prime is 243531361. The reversal of 243531360 is 63135342.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (243531359) and next prime (243531361).

It is a tau number, because it is divible by the number of its divisors (480).

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 (243531361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5663499 + ... + 5663541.

It is an arithmetic number, because the mean of its divisors is an integer number (2012472).

Almost surely, 2^243531360 is an apocalyptic number.

243531360 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 243531360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482993280).

243531360 is an abundant number, since it is smaller than the sum of its proper divisors (722455200).

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

243531360 is a wasteful number, since it uses less digits than its factorization.

243531360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 243531360 is about 15605.4913411914. The cubic root of 243531360 is about 624.4796607822.

The spelling of 243531360 in words is "two hundred forty-three million, five hundred thirty-one thousand, three hundred sixty".