448688040 has 128 divisors (see below), whose sum is σ = 1434585600. Its totient is φ = 111939840.

The previous prime is 448688027. The next prime is 448688047. The reversal of 448688040 is 40886844.

448688040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 448687983 and 448688001.

It is not an unprimeable number, because it can be changed into a prime (448688047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188055 + ... + 190425.

It is an arithmetic number, because the mean of its divisors is an integer number (11207700).

Almost surely, 2^448688040 is an apocalyptic number.

448688040 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 448688040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717292800).

448688040 is an abundant number, since it is smaller than the sum of its proper divisors (985897560).

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

448688040 is a wasteful number, since it uses less digits than its factorization.

448688040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 448688040 is about 21182.2576700407. The cubic root of 448688040 is about 765.5639909515.

The spelling of 448688040 in words is "four hundred forty-eight million, six hundred eighty-eight thousand, forty".