4049200 has 60 divisors (see below), whose sum is σ = 9963648. Its totient is φ = 1580800.

The previous prime is 4049167. The next prime is 4049203. The reversal of 4049200 is 29404.

4049200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4049203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21105 + ... + 21295.

Almost surely, 2^4049200 is an apocalyptic number.

4049200 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 4049200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981824).

4049200 is an abundant number, since it is smaller than the sum of its proper divisors (5914448).

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

4049200 is a wasteful number, since it uses less digits than its factorization.

4049200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4049200 is about 2012.2624083355. The cubic root of 4049200 is about 159.3882892930.

It can be divided in two parts, 404 and 9200, that added together give a square (9604 = 98²).

The spelling of 4049200 in words is "four million, forty-nine thousand, two hundred".