230329008 has 420 divisors, whose sum is σ = 865236288. Its totient is φ = 58786560.

The previous prime is 230329007. The next prime is 230329009. The reversal of 230329008 is 800923032.

230329008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230329007) and next prime (230329009).

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 (230329007) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7429953 + ... + 7429983.

Almost surely, 2^230329008 is an apocalyptic number.

230329008 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 230329008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432618144).

230329008 is an abundant number, since it is smaller than the sum of its proper divisors (634907280).

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

230329008 is a wasteful number, since it uses less digits than its factorization.

230329008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 230329008 is about 15176.5940843129. The cubic root of 230329008 is about 612.9845743550.

The spelling of 230329008 in words is "two hundred thirty million, three hundred twenty-nine thousand, eight".