4048200 has 144 divisors (see below), whose sum is σ = 14725620. Its totient is φ = 990720.

The previous prime is 4048199. The next prime is 4048211. The reversal of 4048200 is 28404.

It is a happy number.

4048200 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 6 ways, for example, as 1633284 + 2414916 = 1278^2 + 1554^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 23314 + ... + 23486.

Almost surely, 2^4048200 is an apocalyptic number.

4048200 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 4048200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7362810).

4048200 is an abundant number, since it is smaller than the sum of its proper divisors (10677420).

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

4048200 is a wasteful number, since it uses less digits than its factorization.

4048200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4048200 is about 2012.0139164529. The cubic root of 4048200 is about 159.3751672432.

The spelling of 4048200 in words is "four million, forty-eight thousand, two hundred".