230406300 has 108 divisors (see below), whose sum is σ = 733166616. Its totient is φ = 60508800.

The previous prime is 230406259. The next prime is 230406307. The reversal of 230406300 is 3604032.

230406300 is a `hidden beast` number, since 2 + 30 + 4 + 0 + 630 + 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 (230406307) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 58390 + ... + 62210.

Almost surely, 2^230406300 is an apocalyptic number.

230406300 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 230406300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366583308).

230406300 is an abundant number, since it is smaller than the sum of its proper divisors (502760316).

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

230406300 is a wasteful number, since it uses less digits than its factorization.

230406300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3898 counting only the distinct ones).

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

The square root of 230406300 is about 15179.1402918611. The cubic root of 230406300 is about 613.0531335369.

The spelling of 230406300 in words is "two hundred thirty million, four hundred six thousand, three hundred".