440856 has 64 divisors (see below), whose sum is σ = 1327200. Its totient is φ = 134784.

The previous prime is 440849. The next prime is 440863. The reversal of 440856 is 658044.

440856 = T₁₇₁ + T₁₇₂ + ... + T₁₉₆.

It is an interprime number because it is at equal distance from previous prime (440849) and next prime (440863).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

440856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2730 + ... + 2886.

2⁴⁴⁰⁸⁵⁶ 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 440856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663600).

440856 is an abundant number, since it is smaller than the sum of its proper divisors (886344).

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

440856 is a wasteful number, since it uses less digits than its factorization.

440856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 440856 is about 663.9698788349. The cubic root of 440856 is about 76.1083404054.

It can be divided in two parts, 440 and 856, that added together give a 4-th power (1296 = 6⁴).

The spelling of 440856 in words is "four hundred forty thousand, eight hundred fifty-six".