230384544 has 96 divisors (see below), whose sum is σ = 689653440. Its totient is φ = 66711552.

The previous prime is 230384521. The next prime is 230384621. The reversal of 230384544 is 445483032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×230384544³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15787 + ... + 26645.

It is an arithmetic number, because the mean of its divisors is an integer number (7183890).

Almost surely, 2^230384544 is an apocalyptic number.

230384544 is a gapful number since it is divisible by the number (24) 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 230384544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344826720).

230384544 is an abundant number, since it is smaller than the sum of its proper divisors (459268896).

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

230384544 is a wasteful number, since it uses less digits than its factorization.

230384544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10902 (or 10894 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 230384544 is about 15178.4236335662. The cubic root of 230384544 is about 613.0338371840.

The spelling of 230384544 in words is "two hundred thirty million, three hundred eighty-four thousand, five hundred forty-four".