4171200 has 168 divisors, whose sum is σ = 15118080. Its totient is φ = 998400.

The previous prime is 4171187. The next prime is 4171201. The reversal of 4171200 is 21714.

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 4171200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4171201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52761 + ... + 52839.

Almost surely, 2^4171200 is an apocalyptic number.

4171200 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 4171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7559040).

4171200 is an abundant number, since it is smaller than the sum of its proper divisors (10946880).

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

4171200 is a wasteful number, since it uses less digits than its factorization.

4171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 4171200 is about 2042.3515857952. The cubic root of 4171200 is about 160.9732347519.

Adding to 4171200 its reverse (21714), we get a palindrome (4192914).

It can be divided in two parts, 4171 and 200, that added together give a triangular number (4371 = T₉₃).

The spelling of 4171200 in words is "four million, one hundred seventy-one thousand, two hundred".