4005200 has 120 divisors (see below), whose sum is σ = 11070720. Its totient is φ = 1382400.

The previous prime is 4005173. The next prime is 4005203. The reversal of 4005200 is 25004.

4005200 = T₃₇₅ + T₃₇₆ + ... + T₄₂₄.

4005200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005203) 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 23 ways as a sum of consecutive naturals, for example, 129185 + ... + 129215.

It is an arithmetic number, because the mean of its divisors is an integer number (92256).

Almost surely, 2^4005200 is an apocalyptic number.

4005200 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 4005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535360).

4005200 is an abundant number, since it is smaller than the sum of its proper divisors (7065520).

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

4005200 is a wasteful number, since it uses less digits than its factorization.

4005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 4005200 is about 2001.2995777744. The cubic root of 4005200 is about 158.8088627894.

The spelling of 4005200 in words is "four million, five thousand, two hundred".