230959008 has 288 divisors, whose sum is σ = 832156416. Its totient is φ = 59203584.

The previous prime is 230958997. The next prime is 230959051. The reversal of 230959008 is 800959032.

230959008 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 788110 + ... + 788402.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2^230959008 is an apocalyptic number.

230959008 is a gapful number since it is divisible by the number (28) 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 230959008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416078208).

230959008 is an abundant number, since it is smaller than the sum of its proper divisors (601197408).

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

230959008 is a wasteful number, since it uses less digits than its factorization.

230959008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 230959008 is about 15197.3355559453. The cubic root of 230959008 is about 613.5429476772.

The spelling of 230959008 in words is "two hundred thirty million, nine hundred fifty-nine thousand, eight".