448921872 has 160 divisors (see below), whose sum is σ = 1500975360. Its totient is φ = 125798400.

The previous prime is 448921867. The next prime is 448921897. The reversal of 448921872 is 278129844.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158872 + ... + 161672.

It is an arithmetic number, because the mean of its divisors is an integer number (9381096).

Almost surely, 2^448921872 is an apocalyptic number.

448921872 is a gapful number since it is divisible by the number (42) 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 448921872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750487680).

448921872 is an abundant number, since it is smaller than the sum of its proper divisors (1052053488).

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

448921872 is a wasteful number, since it uses less digits than its factorization.

448921872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2866 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 448921872 is about 21187.7764760722. The cubic root of 448921872 is about 765.6969580725.

It can be divided in two parts, 44892 and 1872, that added together give a palindrome (46764).

The spelling of 448921872 in words is "four hundred forty-eight million, nine hundred twenty-one thousand, eight hundred seventy-two".