448880 has 40 divisors (see below), whose sum is σ = 1083264. Its totient is φ = 172800.

The previous prime is 448879. The next prime is 448883. The reversal of 448880 is 88844.

448880 = 105² + 106² + ... + 135².

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2390 + ... + 2570.

2⁴⁴⁸⁸⁸⁰ is an apocalyptic number.

448880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541632).

448880 is an abundant number, since it is smaller than the sum of its proper divisors (634384).

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

448880 is a wasteful number, since it uses less digits than its factorization.

448880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 448880 is about 669.9850744606. The cubic root of 448880 is about 76.5673151213.

It can be divided in two parts, 4 and 48880, that added together give a palindrome (48884).

The spelling of 448880 in words is "four hundred forty-eight thousand, eight hundred eighty".