439956 has 54 divisors (see below), whose sum is σ = 1234506. Its totient is φ = 132000.

The previous prime is 439949. The next prime is 439961. The reversal of 439956 is 659934.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 4356 = 660^2 + 66^2 .

It is a super-2 number, since 2×439956² = 387122563872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 439956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4306 + ... + 4406.

2⁴³⁹⁹⁵⁶ 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 439956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617253).

439956 is an abundant number, since it is smaller than the sum of its proper divisors (794550).

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

439956 is a wasteful number, since it uses less digits than its factorization.

439956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 439956 is about 663.2917909940. The cubic root of 439956 is about 76.0565138291.

439956 divided by its sum of digits (36) gives a palindrome (12221).

It can be divided in two parts, 43 and 9956, that added together give a palindrome (9999).

The spelling of 439956 in words is "four hundred thirty-nine thousand, nine hundred fifty-six".