4313023200 has 360 divisors, whose sum is σ = 15908591160. Its totient is φ = 1137024000.

The previous prime is 4313023193. The next prime is 4313023217. The reversal of 4313023200 is 23203134.

4313023200 is a `hidden beast` number, since 43 + 1 + 302 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6544471 + ... + 6545129.

It is an arithmetic number, because the mean of its divisors is an integer number (44190531).

Almost surely, 2^4313023200 is an apocalyptic number.

4313023200 is a gapful number since it is divisible by the number (40) 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 4313023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7954295580).

4313023200 is an abundant number, since it is smaller than the sum of its proper divisors (11595567960).

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

4313023200 is a wasteful number, since it uses less digits than its factorization.

4313023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 770 counting only the distinct ones).

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

The square root of 4313023200 is about 65673.6111387215. The cubic root of 4313023200 is about 1627.7733406554.

Adding to 4313023200 its reverse (23203134), we get a palindrome (4336226334).

The spelling of 4313023200 in words is "four billion, three hundred thirteen million, twenty-three thousand, two hundred".