4093200 has 120 divisors (see below), whose sum is σ = 14607200. Its totient is φ = 1088640.

The previous prime is 4093181. The next prime is 4093217. The reversal of 4093200 is 23904.

4093200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×4093200³ (a number of 21 digits) contains 333 as substring.

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

It is a zygodrome in base 15.

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 23 ways as a sum of consecutive naturals, for example, 10611 + ... + 10989.

Almost surely, 2^4093200 is an apocalyptic number.

4093200 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 4093200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7303600).

4093200 is an abundant number, since it is smaller than the sum of its proper divisors (10514000).

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

4093200 is a wasteful number, since it uses less digits than its factorization.

4093200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4093200 is about 2023.1658360105. The cubic root of 4093200 is about 159.9635333559.

The spelling of 4093200 in words is "four million, ninety-three thousand, two hundred".