230267520 has 192 divisors, whose sum is σ = 908893440. Its totient is φ = 52623360.

The previous prime is 230267519. The next prime is 230267549. The reversal of 230267520 is 25762032.

230267520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 37465 + ... + 43175.

It is an arithmetic number, because the mean of its divisors is an integer number (4733820).

Almost surely, 2^230267520 is an apocalyptic number.

230267520 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 230267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454446720).

230267520 is an abundant number, since it is smaller than the sum of its proper divisors (678625920).

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

230267520 is a wasteful number, since it uses less digits than its factorization.

230267520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 230267520 is about 15174.5681981399. The cubic root of 230267520 is about 612.9300226070.

The spelling of 230267520 in words is "two hundred thirty million, two hundred sixty-seven thousand, five hundred twenty".