448430720 has 32 divisors (see below), whose sum is σ = 1072031220. Its totient is φ = 179372032.

The previous prime is 448430711. The next prime is 448430783. The reversal of 448430720 is 27034844.

It can be written as a sum of positive squares in 2 ways, for example, as 448422976 + 7744 = 21176^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×448430720² = 402180221279436800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 3 ways as a sum of consecutive naturals, for example, 349697 + ... + 350976.

Almost surely, 2^448430720 is an apocalyptic number.

448430720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448430720 is an abundant number, since it is smaller than the sum of its proper divisors (623600500).

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

448430720 is an equidigital number, since it uses as much as digits as its factorization.

448430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700692 (or 700680 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 448430720 is about 21176.1828477183. The cubic root of 448430720 is about 765.4176141231.

The spelling of 448430720 in words is "four hundred forty-eight million, four hundred thirty thousand, seven hundred twenty".