4085900 has 72 divisors (see below), whose sum is σ = 10936800. Its totient is φ = 1290240.

The previous prime is 4085891. The next prime is 4085923. The reversal of 4085900 is 95804.

4085900 = 761² + 762² + ... + 767².

4085900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4085900.

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, 8876 + ... + 9324.

It is an arithmetic number, because the mean of its divisors is an integer number (151900).

Almost surely, 2^4085900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4085900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468400).

4085900 is an abundant number, since it is smaller than the sum of its proper divisors (6850900).

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

4085900 is a wasteful number, since it uses less digits than its factorization.

4085900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 4085900 is about 2021.3609276920. The cubic root of 4085900 is about 159.8683813413.

The spelling of 4085900 in words is "four million, eighty-five thousand, nine hundred".