243849216 has 192 divisors, whose sum is σ = 726485760. Its totient is φ = 72253440.

The previous prime is 243849167. The next prime is 243849217. The reversal of 243849216 is 612948342.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243849217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3434461 + ... + 3434531.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2^243849216 is an apocalyptic number.

243849216 is a gapful number since it is divisible by the number (26) 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 243849216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363242880).

243849216 is an abundant number, since it is smaller than the sum of its proper divisors (482636544).

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

243849216 is a wasteful number, since it uses less digits than its factorization.

243849216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 243849216 is about 15615.6721277056. The cubic root of 243849216 is about 624.7512319830.

The spelling of 243849216 in words is "two hundred forty-three million, eight hundred forty-nine thousand, two hundred sixteen".