230044320 has 384 divisors, whose sum is σ = 905748480. Its totient is φ = 54051840.

The previous prime is 230044319. The next prime is 230044351. The reversal of 230044320 is 23440032.

230044320 is a `hidden beast` number, since 2 + 300 + 44 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230044293 and 230044302.

It is a congruent number.

It is an unprimeable number.

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, 2233389 + ... + 2233491.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^230044320 is an apocalyptic number.

230044320 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 230044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240).

230044320 is an abundant number, since it is smaller than the sum of its proper divisors (675704160).

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

230044320 is a wasteful number, since it uses less digits than its factorization.

230044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 230044320 is about 15167.2120048478. The cubic root of 230044320 is about 612.7319193933.

Adding to 230044320 its reverse (23440032), we get a palindrome (253484352).

The spelling of 230044320 in words is "two hundred thirty million, forty-four thousand, three hundred twenty".