4084900 has 18 divisors (see below), whose sum is σ = 8864450. Its totient is φ = 1633920.

The previous prime is 4084891. The next prime is 4084907. The reversal of 4084900 is 94804.

4084900 = 401² + 402² + ... + 424².

4084900 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 3 ways, for example, as 459684 + 3625216 = 678^2 + 1904^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4084907) 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 5 ways as a sum of consecutive naturals, for example, 20325 + ... + 20524.

Almost surely, 2^4084900 is an apocalyptic number.

It is an amenable number.

4084900 is an abundant number, since it is smaller than the sum of its proper divisors (4779550).

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

4084900 is a wasteful number, since it uses less digits than its factorization.

4084900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40863 (or 40856 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 4084900 is about 2021.1135544546. The cubic root of 4084900 is about 159.8553379951.

The spelling of 4084900 in words is "four million, eighty-four thousand, nine hundred".