230430400 has 84 divisors (see below), whose sum is σ = 576849240. Its totient is φ = 90572800.

The previous prime is 230430311. The next prime is 230430407. The reversal of 230430400 is 4034032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (230430407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93180 + ... + 95620.

Almost surely, 2^230430400 is an apocalyptic number.

230430400 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 230430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288424620).

230430400 is an abundant number, since it is smaller than the sum of its proper divisors (346418840).

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

230430400 is a wasteful number, since it uses less digits than its factorization.

230430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 230430400 is about 15179.9341237042. The cubic root of 230430400 is about 613.0745074684.

Adding to 230430400 its reverse (4034032), we get a palindrome (234464432).

The spelling of 230430400 in words is "two hundred thirty million, four hundred thirty thousand, four hundred".