448080 has 40 divisors (see below), whose sum is σ = 1389792. Its totient is φ = 119424.

The previous prime is 448073. The next prime is 448093. The reversal of 448080 is 80844.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 448080.

It is a congruent number.

It is an unprimeable number.

448080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 694 + ... + 1173.

2⁴⁴⁸⁰⁸⁰ is an apocalyptic number.

448080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448080 is an abundant number, since it is smaller than the sum of its proper divisors (941712).

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

448080 is a wasteful number, since it uses less digits than its factorization.

448080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 448080 is about 669.3877799900. The cubic root of 448080 is about 76.5218016379.

Subtracting from 448080 its reverse (80844), we obtain a square (367236 = 606²).

It can be divided in two parts, 4480 and 80, that added together give a triangular number (4560 = T₉₅).

The spelling of 448080 in words is "four hundred forty-eight thousand, eighty".