4205600 has 72 divisors (see below), whose sum is σ = 11749248. Its totient is φ = 1440000.

The previous prime is 4205599. The next prime is 4205611. The reversal of 4205600 is 65024.

4205600 is nontrivially palindromic in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5225 + ... + 5975.

It is an arithmetic number, because the mean of its divisors is an integer number (163184).

Almost surely, 2^4205600 is an apocalyptic number.

4205600 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 4205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874624).

4205600 is an abundant number, since it is smaller than the sum of its proper divisors (7543648).

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

4205600 is a wasteful number, since it uses less digits than its factorization.

4205600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 4205600 is about 2050.7559581774. The cubic root of 4205600 is about 161.4145406957.

The spelling of 4205600 in words is "four million, two hundred five thousand, six hundred".