448045128 has 64 divisors (see below), whose sum is σ = 1287504000. Its totient is φ = 144196416.

The previous prime is 448045127. The next prime is 448045181. The reversal of 448045128 is 821540844.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 448045092 and 448045101.

It is not an unprimeable number, because it can be changed into a prime (448045121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29500 + ... + 42027.

It is an arithmetic number, because the mean of its divisors is an integer number (20117250).

Almost surely, 2^448045128 is an apocalyptic number.

It is an amenable number.

448045128 is an abundant number, since it is smaller than the sum of its proper divisors (839458872).

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

448045128 is a wasteful number, since it uses less digits than its factorization.

448045128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71571 (or 71561 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 448045128 is about 21167.0765104679. The cubic root of 448045128 is about 765.1981647339.

The spelling of 448045128 in words is "four hundred forty-eight million, forty-five thousand, one hundred twenty-eight".