230306400 has 216 divisors, whose sum is σ = 840883680. Its totient is φ = 59243520.

The previous prime is 230306381. The next prime is 230306407. The reversal of 230306400 is 4603032.

230306400 is a `hidden beast` number, since 23 + 0 + 3 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230306407) 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 35 ways as a sum of consecutive naturals, for example, 208249 + ... + 209351.

It is an arithmetic number, because the mean of its divisors is an integer number (3892980).

Almost surely, 2^230306400 is an apocalyptic number.

230306400 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 230306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420441840).

230306400 is an abundant number, since it is smaller than the sum of its proper divisors (610577280).

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

230306400 is a wasteful number, since it uses less digits than its factorization.

230306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230306400 is about 15175.8492348863. The cubic root of 230306400 is about 612.9645178153.

Adding to 230306400 its reverse (4603032), we get a palindrome (234909432).

The spelling of 230306400 in words is "two hundred thirty million, three hundred six thousand, four hundred".