448756 has 48 divisors (see below), whose sum is σ = 1032192. Its totient is φ = 165600.

The previous prime is 448741. The next prime is 448769. The reversal of 448756 is 657844.

448756 = T₄₈ + T₄₉ + ... + T₁₄₀.

448756 is a modest number, since divided by 756 gives 448 as remainder.

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 15 ways as a sum of consecutive naturals, for example, 9525 + ... + 9571.

It is an arithmetic number, because the mean of its divisors is an integer number (21504).

2⁴⁴⁸⁷⁵⁶ 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 448756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516096).

448756 is an abundant number, since it is smaller than the sum of its proper divisors (583436).

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

448756 is a wasteful number, since it uses less digits than its factorization.

448756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 98 counting only the distinct ones).

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

The square root of 448756 is about 669.8925286940. The cubic root of 448756 is about 76.5602640746.

The spelling of 448756 in words is "four hundred forty-eight thousand, seven hundred fifty-six".