448392672 has 240 divisors, whose sum is σ = 1623881952. Its totient is φ = 118195200.

The previous prime is 448392661. The next prime is 448392689. The reversal of 448392672 is 276293844.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 234922 + ... + 236822.

Almost surely, 2^448392672 is an apocalyptic number.

448392672 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 448392672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811940976).

448392672 is an abundant number, since it is smaller than the sum of its proper divisors (1175489280).

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

448392672 is a wasteful number, since it uses less digits than its factorization.

448392672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1926 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 448392672 is about 21175.2844608992. The cubic root of 448392672 is about 765.3959657155.

The spelling of 448392672 in words is "four hundred forty-eight million, three hundred ninety-two thousand, six hundred seventy-two".