4085933808 has 240 divisors, whose sum is σ = 12301712640. Its totient is φ = 1165317120.

The previous prime is 4085933783. The next prime is 4085933849. The reversal of 4085933808 is 8083395804.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9751423 + ... + 9751841.

It is an arithmetic number, because the mean of its divisors is an integer number (51257136).

Almost surely, 2^4085933808 is an apocalyptic number.

4085933808 is a gapful number since it is divisible by the number (48) 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 4085933808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150856320).

4085933808 is an abundant number, since it is smaller than the sum of its proper divisors (8215778832).

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

4085933808 is a wasteful number, since it uses less digits than its factorization.

4085933808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 4085933808 is about 63921.3094984763. The cubic root of 4085933808 is about 1598.6882227358.

The spelling of 4085933808 in words is "four billion, eighty-five million, nine hundred thirty-three thousand, eight hundred eight".