43243200 has 672 divisors, whose sum is σ = 211653120. Its totient is φ = 8294400.

The previous prime is 43243181. The next prime is 43243201. The reversal of 43243200 is 234234.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43243201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3326394 + ... + 3326406.

It is an arithmetic number, because the mean of its divisors is an integer number (314960).

43243200 is a highly composite number, because it has more divisors than any smaller number.

Almost surely, 2^43243200 is an apocalyptic number.

43243200 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 43243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105826560).

43243200 is an abundant number, since it is smaller than the sum of its proper divisors (168409920).

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

43243200 is a wasteful number, since it uses less digits than its factorization.

43243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 43243200 is about 6575.9562042337. The cubic root of 43243200 is about 350.9990503298. Note that the first 3 decimals are identical.

Adding to 43243200 its product of nonzero digits (576), we get a square (43243776 = 6576²).

Adding to 43243200 its reverse (234234), we get a palindrome (43477434).

It can be divided in two parts, 432 and 43200, that multiplied together give a square (18662400 = 4320²).

The spelling of 43243200 in words is "forty-three million, two hundred forty-three thousand, two hundred".