230332400 has 120 divisors (see below), whose sum is σ = 578445120. Its totient is φ = 88058880.

The previous prime is 230332397. The next prime is 230332429. The reversal of 230332400 is 4233032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1169102 + ... + 1169298.

It is an arithmetic number, because the mean of its divisors is an integer number (4820376).

Almost surely, 2^230332400 is an apocalyptic number.

230332400 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 230332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289222560).

230332400 is an abundant number, since it is smaller than the sum of its proper divisors (348112720).

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

230332400 is a wasteful number, since it uses less digits than its factorization.

230332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 230332400 is about 15176.7058349301. The cubic root of 230332400 is about 612.9875834324.

Adding to 230332400 its reverse (4233032), we get a palindrome (234565432).

The spelling of 230332400 in words is "two hundred thirty million, three hundred thirty-two thousand, four hundred".