448512 has 48 divisors (see below), whose sum is σ = 1212120. Its totient is φ = 147456.

The previous prime is 448451. The next prime is 448519. The reversal of 448512 is 215844.

448512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448519) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6108 + ... + 6180.

2⁴⁴⁸⁵¹² 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 448512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606060).

448512 is an abundant number, since it is smaller than the sum of its proper divisors (763608).

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

448512 is an equidigital number, since it uses as much as digits as its factorization.

448512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 448512 is about 669.7103851666. The cubic root of 448512 is about 76.5463856409.

It can be divided in two parts, 4 and 48512, that added together give a triangular number (48516 = T₃₁₁).

The spelling of 448512 in words is "four hundred forty-eight thousand, five hundred twelve".