230007960 has 576 divisors, whose sum is σ = 1008352800. Its totient is φ = 44900352.

The previous prime is 230007959. The next prime is 230008013. The reversal of 230007960 is 69700032.

230007960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3898411 + ... + 3898469.

Almost surely, 2^230007960 is an apocalyptic number.

230007960 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 230007960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504176400).

230007960 is an abundant number, since it is smaller than the sum of its proper divisors (778344840).

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

230007960 is a wasteful number, since it uses less digits than its factorization.

230007960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

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

The square root of 230007960 is about 15166.0133192609. The cubic root of 230007960 is about 612.6996356048.

Adding to 230007960 its reverse (69700032), we get a palindrome (299707992).

The spelling of 230007960 in words is "two hundred thirty million, seven thousand, nine hundred sixty".