448897280 has 144 divisors (see below), whose sum is σ = 1182126960. Its totient is φ = 162299904.

The previous prime is 448897277. The next prime is 448897289. The reversal of 448897280 is 82798844.

It can be written as a sum of positive squares in 8 ways, for example, as 135424 + 448761856 = 368^2 + 21184^2 .

It is not an unprimeable number, because it can be changed into a prime (448897289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881666 + ... + 882174.

It is an arithmetic number, because the mean of its divisors is an integer number (8209215).

Almost surely, 2^448897280 is an apocalyptic number.

448897280 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 448897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591063480).

448897280 is an abundant number, since it is smaller than the sum of its proper divisors (733229680).

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

448897280 is a wasteful number, since it uses less digits than its factorization.

448897280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 50.

The square root of 448897280 is about 21187.1961335142. The cubic root of 448897280 is about 765.6829761567.

The spelling of 448897280 in words is "four hundred forty-eight million, eight hundred ninety-seven thousand, two hundred eighty".