448576 has 28 divisors (see below), whose sum is σ = 916432. Its totient is φ = 217728.

The previous prime is 448561. The next prime is 448597. The reversal of 448576 is 675844.

448576 is nontrivially palindromic in base 5.

448576 is a modest number, since divided by 576 gives 448 as remainder.

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 3 ways as a sum of consecutive naturals, for example, 2671 + ... + 2833.

2⁴⁴⁸⁵⁷⁶ 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 448576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458216).

448576 is an abundant number, since it is smaller than the sum of its proper divisors (467856).

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

448576 is a wasteful number, since it uses less digits than its factorization.

448576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 448576 is about 669.7581653104. The cubic root of 448576 is about 76.5500263727.

It can be divided in two parts, 448 and 576, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 448576 in words is "four hundred forty-eight thousand, five hundred seventy-six".