230644960 has 288 divisors, whose sum is σ = 714292992. Its totient is φ = 69672960.

The previous prime is 230644957. The next prime is 230644961. The reversal of 230644960 is 69446032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230644961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3159484 + ... + 3159556.

It is an arithmetic number, because the mean of its divisors is an integer number (2480184).

Almost surely, 2^230644960 is an apocalyptic number.

230644960 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 230644960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357146496).

230644960 is an abundant number, since it is smaller than the sum of its proper divisors (483648032).

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

230644960 is a wasteful number, since it uses less digits than its factorization.

230644960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 230644960 is about 15186.9997036939. Note that the first 3 decimals coincide. The cubic root of 230644960 is about 613.2647318777.

The spelling of 230644960 in words is "two hundred thirty million, six hundred forty-four thousand, nine hundred sixty".