448520000 has 70 divisors (see below), whose sum is σ = 1112283018. Its totient is φ = 179392000.

The previous prime is 448519999. The next prime is 448520021. The reversal of 448520000 is 25844.

It can be written as a sum of positive squares in 5 ways, for example, as 304711936 + 143808064 = 17456^2 + 11992^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 34394 + ... + 45606.

Almost surely, 2^448520000 is an apocalyptic number.

448520000 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 448520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556141509).

448520000 is an abundant number, since it is smaller than the sum of its proper divisors (663763018).

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

448520000 is an equidigital number, since it uses as much as digits as its factorization.

448520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245 (or 11220 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 448520000 is about 21178.2907714480. The cubic root of 448520000 is about 765.4684075136.

Adding to 448520000 its reverse (25844), we get a palindrome (448545844).

The spelling of 448520000 in words is "four hundred forty-eight million, five hundred twenty thousand".