230413320 has 96 divisors (see below), whose sum is σ = 756376920. Its totient is φ = 60825600.

The previous prime is 230413301. The next prime is 230413321. The reversal of 230413320 is 23314032.

230413320 is a `hidden beast` number, since 230 + 413 + 3 + 20 = 666.

230413320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 216619524 + 13793796 = 14718^2 + 3714^2 .

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 = 230413293 and 230413302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230413321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33192 + ... + 39528.

Almost surely, 2^230413320 is an apocalyptic number.

230413320 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 230413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378188460).

230413320 is an abundant number, since it is smaller than the sum of its proper divisors (525963600).

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

230413320 is a wasteful number, since it uses less digits than its factorization.

230413320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6455 (or 6448 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230413320 is about 15179.3715284922. The cubic root of 230413320 is about 613.0593596243.

Adding to 230413320 its reverse (23314032), we get a palindrome (253727352).

The spelling of 230413320 in words is "two hundred thirty million, four hundred thirteen thousand, three hundred twenty".