43221600 has 360 divisors, whose sum is σ = 170145360. Its totient is φ = 10644480.

The previous prime is 43221589. The next prime is 43221601. The reversal of 43221600 is 612234.

It is a happy number.

43221600 is a `hidden beast` number, since 43 + 2 + 21 + 600 = 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 not an unprimeable number, because it can be changed into a prime (43221601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1490386 + ... + 1490414.

It is an arithmetic number, because the mean of its divisors is an integer number (472626).

Almost surely, 2^43221600 is an apocalyptic number.

43221600 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 43221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85072680).

43221600 is an abundant number, since it is smaller than the sum of its proper divisors (126923760).

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

43221600 is a wasteful number, since it uses less digits than its factorization.

43221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 43221600 is about 6574.3136523899. The cubic root of 43221600 is about 350.9405991963.

Adding to 43221600 its reverse (612234), we get a palindrome (43833834).

The spelling of 43221600 in words is "forty-three million, two hundred twenty-one thousand, six hundred".