230008320 has 240 divisors, whose sum is σ = 813898800. Its totient is φ = 60014592.

The previous prime is 230008291. The next prime is 230008381. The reversal of 230008320 is 23800032.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230008293 and 230008302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1543606 + ... + 1543754.

It is an arithmetic number, because the mean of its divisors is an integer number (3391245).

Almost surely, 2^230008320 is an apocalyptic number.

230008320 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 230008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406949400).

230008320 is an abundant number, since it is smaller than the sum of its proper divisors (583890480).

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

230008320 is a wasteful number, since it uses less digits than its factorization.

230008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 230008320 is about 15166.0251878994. The cubic root of 230008320 is about 612.6999552630.

Adding to 230008320 its reverse (23800032), we get a palindrome (253808352).

The spelling of 230008320 in words is "two hundred thirty million, eight thousand, three hundred twenty".