4382856 has 64 divisors (see below), whose sum is σ = 12355200. Its totient is φ = 1439424.

The previous prime is 4382849. The next prime is 4382869. The reversal of 4382856 is 6582834.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4¹⁰ + 3⁹ + 8⁴ + 2²⁰ + 8⁶ + 5⁹ + 6⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 4382856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22150 + ... + 22346.

It is an arithmetic number, because the mean of its divisors is an integer number (193050).

Almost surely, 2^4382856 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 4382856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177600).

4382856 is an abundant number, since it is smaller than the sum of its proper divisors (7972344).

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

4382856 is a wasteful number, since it uses less digits than its factorization.

4382856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4382856 is about 2093.5271672467. The cubic root of 4382856 is about 163.6511521988.

The spelling of 4382856 in words is "four million, three hundred eighty-two thousand, eight hundred fifty-six".