448991760 has 320 divisors, whose sum is σ = 1714176000. Its totient is φ = 94887936.

The previous prime is 448991747. The next prime is 448991783. The reversal of 448991760 is 67199844.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2256141 + ... + 2256339.

It is an arithmetic number, because the mean of its divisors is an integer number (5356800).

Almost surely, 2^448991760 is an apocalyptic number.

448991760 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 448991760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857088000).

448991760 is an abundant number, since it is smaller than the sum of its proper divisors (1265184240).

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

448991760 is a wasteful number, since it uses less digits than its factorization.

448991760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 448991760 is about 21189.4256647036. The cubic root of 448991760 is about 765.7366904889.

The spelling of 448991760 in words is "four hundred forty-eight million, nine hundred ninety-one thousand, seven hundred sixty".