448006272 has 64 divisors (see below), whose sum is σ = 1360027200. Its totient is φ = 128001024.

The previous prime is 448006271. The next prime is 448006283. The reversal of 448006272 is 272600844.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448006271) 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, 80647 + ... + 86022.

It is an arithmetic number, because the mean of its divisors is an integer number (21250425).

Almost surely, 2^448006272 is an apocalyptic number.

448006272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

448006272 is an abundant number, since it is smaller than the sum of its proper divisors (912020928).

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

448006272 is a wasteful number, since it uses less digits than its factorization.

448006272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166693 (or 166681 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 448006272 is about 21166.1586500716. The cubic root of 448006272 is about 765.1760438972.

The spelling of 448006272 in words is "four hundred forty-eight million, six thousand, two hundred seventy-two".