383856 has 40 divisors (see below), whose sum is σ = 1083264. Its totient is φ = 116160.

The previous prime is 383839. The next prime is 383869. The reversal of 383856 is 658383.

383856 = T₂₁₁ + T₂₁₂ + ... + T₂₂₆.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 165 + ... + 891.

383856 is a Friedman number, since it can be written as 6*((8*5)^3-8*3), using all its digits and the basic arithmetic operations.

2³⁸³⁸⁵⁶ 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 383856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541632).

383856 is an abundant number, since it is smaller than the sum of its proper divisors (699408).

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

383856 is a wasteful number, since it uses less digits than its factorization.

383856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 743 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 383856 is about 619.5611349980. The cubic root of 383856 is about 72.6757369744.

The spelling of 383856 in words is "three hundred eighty-three thousand, eight hundred fifty-six".