4191200 has 108 divisors (see below), whose sum is σ = 11436768. Its totient is φ = 1497600.

The previous prime is 4191193. The next prime is 4191217. The reversal of 4191200 is 21914.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 135185 + ... + 135215.

It is an arithmetic number, because the mean of its divisors is an integer number (105896).

Almost surely, 2^4191200 is an apocalyptic number.

4191200 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 4191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718384).

4191200 is an abundant number, since it is smaller than the sum of its proper divisors (7245568).

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

4191200 is a wasteful number, since it uses less digits than its factorization.

4191200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 4191200 is about 2047.2420472431. The cubic root of 4191200 is about 161.2301019054.

The spelling of 4191200 in words is "four million, one hundred ninety-one thousand, two hundred".