448628480 has 72 divisors (see below), whose sum is σ = 1078348992. Its totient is φ = 178827264.

The previous prime is 448628471. The next prime is 448628483. The reversal of 448628480 is 84826844.

It is a happy number.

It is a super-2 number, since 2×448628480² = 402535026134220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448628483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 592262 + ... + 593018.

Almost surely, 2^448628480 is an apocalyptic number.

448628480 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 448628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539174496).

448628480 is an abundant number, since it is smaller than the sum of its proper divisors (629720512).

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

448628480 is an equidigital number, since it uses as much as digits as its factorization.

448628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The square root of 448628480 is about 21180.8517298054. The cubic root of 448628480 is about 765.5301151440.

The spelling of 448628480 in words is "four hundred forty-eight million, six hundred twenty-eight thousand, four hundred eighty".