448549920 has 576 divisors, whose sum is σ = 1978784640. Its totient is φ = 94058496.

The previous prime is 448549909. The next prime is 448549921. The reversal of 448549920 is 29945844.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448549921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2751759 + ... + 2751921.

It is an arithmetic number, because the mean of its divisors is an integer number (3435390).

Almost surely, 2^448549920 is an apocalyptic number.

448549920 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 448549920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989392320).

448549920 is an abundant number, since it is smaller than the sum of its proper divisors (1530234720).

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

448549920 is a wasteful number, since it uses less digits than its factorization.

448549920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 448549920 is about 21178.9971433966. The cubic root of 448549920 is about 765.4854281633.

The spelling of 448549920 in words is "four hundred forty-eight million, five hundred forty-nine thousand, nine hundred twenty".