4085380 has 48 divisors (see below), whose sum is σ = 9737280. Its totient is φ = 1427328.

The previous prime is 4085377. The next prime is 4085383. The reversal of 4085380 is 835804.

4085380 = 218² + 219² + ... + 282².

4085380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4085377) and next prime (4085383).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4085383) 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 15 ways as a sum of consecutive naturals, for example, 4527 + ... + 5353.

It is an arithmetic number, because the mean of its divisors is an integer number (202860).

Almost surely, 2^4085380 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 4085380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868640).

4085380 is an abundant number, since it is smaller than the sum of its proper divisors (5651900).

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

4085380 is a wasteful number, since it uses less digits than its factorization.

4085380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 4085380 is about 2021.2322973869. The cubic root of 4085380 is about 159.8615990669.

It can be divided in two parts, 4085 and 380, that added together give a triangular number (4465 = T₉₄).

The spelling of 4085380 in words is "four million, eighty-five thousand, three hundred eighty".