4243200 has 216 divisors, whose sum is σ = 15967728. Its totient is φ = 983040.

The previous prime is 4243199. The next prime is 4243219. The reversal of 4243200 is 23424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4243200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249592 + ... + 249608.

Almost surely, 2^4243200 is an apocalyptic number.

4243200 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 4243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983864).

4243200 is an abundant number, since it is smaller than the sum of its proper divisors (11724528).

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

4243200 is a wasteful number, since it uses less digits than its factorization.

4243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4243200 is about 2059.9029103334. The cubic root of 4243200 is about 161.8941543004.

Adding to 4243200 its reverse (23424), we get a palindrome (4266624).

The spelling of 4243200 in words is "four million, two hundred forty-three thousand, two hundred".