230440320 has 192 divisors, whose sum is σ = 868317840. Its totient is φ = 55848960.

The previous prime is 230440307. The next prime is 230440333. The reversal of 230440320 is 23044032.

230440320 is a `hidden beast` number, since 2 + 304 + 40 + 320 = 666.

230440320 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 (230440307) and next prime (230440333).

It is a tau number, because it is divible by the number of its divisors (192).

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 = 230440293 and 230440302.

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, 61542 + ... + 65178.

Almost surely, 2^230440320 is an apocalyptic number.

230440320 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 230440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434158920).

230440320 is an abundant number, since it is smaller than the sum of its proper divisors (637877520).

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

230440320 is a wasteful number, since it uses less digits than its factorization.

230440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 230440320 is about 15180.2608673237. The cubic root of 230440320 is about 613.0833049358.

Adding to 230440320 its reverse (23044032), we get a palindrome (253484352).

It can be divided in two parts, 2304 and 40320, that added together give a palindrome (42624).

The spelling of 230440320 in words is "two hundred thirty million, four hundred forty thousand, three hundred twenty".