230973120 has 560 divisors, whose sum is σ = 1003157760. Its totient is φ = 49268736.

The previous prime is 230973109. The next prime is 230973121. The reversal of 230973120 is 21379032.

230973120 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 (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230973121) 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 79 ways as a sum of consecutive naturals, for example, 3447327 + ... + 3447393.

Almost surely, 2^230973120 is an apocalyptic number.

230973120 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 230973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501578880).

230973120 is an abundant number, since it is smaller than the sum of its proper divisors (772184640).

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

230973120 is a wasteful number, since it uses less digits than its factorization.

230973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 230973120 is about 15197.7998407664. The cubic root of 230973120 is about 613.5554436057. Note that the first 3 decimals are identical.

The spelling of 230973120 in words is "two hundred thirty million, nine hundred seventy-three thousand, one hundred twenty".