243085752 has 256 divisors, whose sum is σ = 846720000. Its totient is φ = 62913024.

The previous prime is 243085729. The next prime is 243085757. The reversal of 243085752 is 257580342.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243085757) 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, 1631374 + ... + 1631522.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500).

Almost surely, 2^243085752 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 243085752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360000).

243085752 is an abundant number, since it is smaller than the sum of its proper divisors (603634248).

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

243085752 is a wasteful number, since it uses less digits than its factorization.

243085752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 243085752 is about 15591.2075221902. The cubic root of 243085752 is about 624.0985421297.

The spelling of 243085752 in words is "two hundred forty-three million, eighty-five thousand, seven hundred fifty-two".