243871992 has 256 divisors, whose sum is σ = 878976000. Its totient is φ = 60839424.

The previous prime is 243871981. The next prime is 243871993. The reversal of 243871992 is 299178342.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243871993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373138 + ... + 373790.

It is an arithmetic number, because the mean of its divisors is an integer number (3433500).

Almost surely, 2^243871992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243871992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439488000).

243871992 is an abundant number, since it is smaller than the sum of its proper divisors (635104008).

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

243871992 is a wasteful number, since it uses less digits than its factorization.

243871992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 697 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 243871992 is about 15616.4013780384. The cubic root of 243871992 is about 624.7706823784.

The spelling of 243871992 in words is "two hundred forty-three million, eight hundred seventy-one thousand, nine hundred ninety-two".