230400768 has 144 divisors (see below), whose sum is σ = 675795456. Its totient is φ = 69242880.

The previous prime is 230400763. The next prime is 230400823. The reversal of 230400768 is 867004032.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (230400761) 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 15 ways as a sum of consecutive naturals, for example, 469003 + ... + 469493.

It is an arithmetic number, because the mean of its divisors is an integer number (4693024).

Almost surely, 2^230400768 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 230400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337897728).

230400768 is an abundant number, since it is smaller than the sum of its proper divisors (445394688).

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

230400768 is a wasteful number, since it uses less digits than its factorization.

230400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 230400768 is about 15178.9580670084. The cubic root of 230400768 is about 613.0482270780.

The spelling of 230400768 in words is "two hundred thirty million, four hundred thousand, seven hundred sixty-eight".