230443431400 has 288 divisors, whose sum is σ = 672988443840. Its totient is φ = 71838074880.

The previous prime is 230443431373. The next prime is 230443431401. The reversal of 230443431400 is 4134344032.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (230443431401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15844932 + ... + 15859468.

It is an arithmetic number, because the mean of its divisors is an integer number (2336765430).

Almost surely, 2^230443431400 is an apocalyptic number.

230443431400 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 230443431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336494221920).

230443431400 is an abundant number, since it is smaller than the sum of its proper divisors (442545012440).

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

230443431400 is a wasteful number, since it uses less digits than its factorization.

230443431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14653 (or 14631 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 230443431400 its reverse (4134344032), we get a palindrome (234577775432).

The spelling of 230443431400 in words is "two hundred thirty billion, four hundred forty-three million, four hundred thirty-one thousand, four hundred".