230643600 has 240 divisors, whose sum is σ = 818679744. Its totient is φ = 55040000.

The previous prime is 230643541. The next prime is 230643629. The reversal of 230643600 is 6346032.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 1333114 + ... + 1333286.

Almost surely, 2^230643600 is an apocalyptic number.

230643600 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 230643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409339872).

230643600 is an abundant number, since it is smaller than the sum of its proper divisors (588036144).

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

230643600 is a wasteful number, since it uses less digits than its factorization.

230643600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 230643600 is about 15186.9549284904. The cubic root of 230643600 is about 613.2635265017.

Adding to 230643600 its reverse (6346032), we get a palindrome (236989632).

The spelling of 230643600 in words is "two hundred thirty million, six hundred forty-three thousand, six hundred".