448710048 has 72 divisors (see below), whose sum is σ = 1279746468. Its totient is φ = 149133312.

The previous prime is 448710047. The next prime is 448710071. The reversal of 448710048 is 840017844.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 415670544 + 33039504 = 20388^2 + 5748^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 448709994 and 448710021.

It is not an unprimeable number, because it can be changed into a prime (448710047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105336 + ... + 109512.

Almost surely, 2^448710048 is an apocalyptic number.

448710048 is a gapful number since it is divisible by the number (48) 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 448710048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639873234).

448710048 is an abundant number, since it is smaller than the sum of its proper divisors (831036420).

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

448710048 is a wasteful number, since it uses less digits than its factorization.

448710048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 448710048 is about 21182.7771550380. Note that the first 3 decimals coincide. The cubic root of 448710048 is about 765.5765076337.

It can be divided in two parts, 4487 and 10048, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 448710048 in words is "four hundred forty-eight million, seven hundred ten thousand, forty-eight".