4091200 has 42 divisors (see below), whose sum is σ = 10070846. Its totient is φ = 1635840.

The previous prime is 4091177. The next prime is 4091239. The reversal of 4091200 is 21904.

4091200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 186624 + 3904576 = 432^2 + 1976^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 322 + ... + 2878.

Almost surely, 2^4091200 is an apocalyptic number.

4091200 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 4091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035423).

4091200 is an abundant number, since it is smaller than the sum of its proper divisors (5979646).

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

4091200 is a wasteful number, since it uses less digits than its factorization.

4091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 4091200 is about 2022.6715007633. The cubic root of 4091200 is about 159.9374755700.

The spelling of 4091200 in words is "four million, ninety-one thousand, two hundred".