230240400 has 120 divisors (see below), whose sum is σ = 794324160. Its totient is φ = 56670720.

The previous prime is 230240383. The next prime is 230240407. The reversal of 230240400 is 4042032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230240400.

It is not an unprimeable number, because it can be changed into a prime (230240407) 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, 8221 + ... + 22979.

It is an arithmetic number, because the mean of its divisors is an integer number (6619368).

Almost surely, 2^230240400 is an apocalyptic number.

230240400 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 230240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397162080).

230240400 is an abundant number, since it is smaller than the sum of its proper divisors (564083760).

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

230240400 is a wasteful number, since it uses less digits than its factorization.

230240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14793 (or 14782 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 230240400 is about 15173.6745714412. The cubic root of 230240400 is about 612.9059588357.

Adding to 230240400 its reverse (4042032), we get a palindrome (234282432).

The spelling of 230240400 in words is "two hundred thirty million, two hundred forty thousand, four hundred".