4085424 has 120 divisors (see below), whose sum is σ = 13711920. Its totient is φ = 1161216.

The previous prime is 4085413. The next prime is 4085447. The reversal of 4085424 is 4245804.

4085424 is digitally balanced in base 8, 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 (27).

4085424 is strictly pandigital in base 8.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21072 + ... + 21264.

It is an arithmetic number, because the mean of its divisors is an integer number (114266).

Almost surely, 2^4085424 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 4085424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855960).

4085424 is an abundant number, since it is smaller than the sum of its proper divisors (9626496).

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

4085424 is a wasteful number, since it uses less digits than its factorization.

4085424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4085424 is about 2021.2431818067. The cubic root of 4085424 is about 159.8621729740.

It can be divided in two parts, 408 and 5424, that added together give a cube (5832 = 18³).

The spelling of 4085424 in words is "four million, eighty-five thousand, four hundred twenty-four".