449956 has 24 divisors (see below), whose sum is σ = 899640. Its totient is φ = 195072.

The previous prime is 449951. The next prime is 449959. The reversal of 449956 is 659944.

449956 is nontrivially palindromic in base 7.

449956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 108900 + 341056 = 330^2 + 584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449951) by changing a digit.

449956 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 630 + ... + 1138.

It is an arithmetic number, because the mean of its divisors is an integer number (37485).

2⁴⁴⁹⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

449956 is a deficient number, since it is larger than the sum of its proper divisors (449684).

449956 is a wasteful number, since it uses less digits than its factorization.

449956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 541 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 449956 is about 670.7875967846. The cubic root of 449956 is about 76.6284455568.

It can be divided in two parts, 44 and 9956, that added together give a 4-th power (10000 = 10⁴).

The spelling of 449956 in words is "four hundred forty-nine thousand, nine hundred fifty-six".