448528080 has 320 divisors, whose sum is σ = 1867880448. Its totient is φ = 85985280.

The previous prime is 448528063. The next prime is 448528081. The reversal of 448528080 is 80825844.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448528081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239307 + ... + 241173.

Almost surely, 2^448528080 is an apocalyptic number.

448528080 is a gapful number since it is divisible by the number (40) 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 448528080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933940224).

448528080 is an abundant number, since it is smaller than the sum of its proper divisors (1419352368).

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

448528080 is a wasteful number, since it uses less digits than its factorization.

448528080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 448528080 is about 21178.4815319701. The cubic root of 448528080 is about 765.4730040738.

The spelling of 448528080 in words is "four hundred forty-eight million, five hundred twenty-eight thousand, eighty".