230479200 has 432 divisors, whose sum is σ = 987124320. Its totient is φ = 49397760.

The previous prime is 230479189. The next prime is 230479237. The reversal of 230479200 is 2974032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 856666 + ... + 856934.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 2^230479200 is an apocalyptic number.

230479200 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 230479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493562160).

230479200 is an abundant number, since it is smaller than the sum of its proper divisors (756645120).

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

230479200 is a wasteful number, since it uses less digits than its factorization.

230479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 230479200 is about 15181.5414237158. The cubic root of 230479200 is about 613.1177828988.

The spelling of 230479200 in words is "two hundred thirty million, four hundred seventy-nine thousand, two hundred".