448757760 has 256 divisors, whose sum is σ = 1585422720. Its totient is φ = 107479040.

The previous prime is 448757741. The next prime is 448757773. The reversal of 448757760 is 67757844.

It is a tau number, because it is divible by the number of its divisors (256).

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

It is a congruent number.

It is an unprimeable number.

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, 5406679 + ... + 5406761.

Almost surely, 2^448757760 is an apocalyptic number.

448757760 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 448757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792711360).

448757760 is an abundant number, since it is smaller than the sum of its proper divisors (1136664960).

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

448757760 is an equidigital number, since it uses as much as digits as its factorization.

448757760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The square root of 448757760 is about 21183.9033230422. The cubic root of 448757760 is about 765.6036416310.

The spelling of 448757760 in words is "four hundred forty-eight million, seven hundred fifty-seven thousand, seven hundred sixty".