448400080 has 40 divisors (see below), whose sum is σ = 1043460000. Its totient is φ = 179200128.

The previous prime is 448400063. The next prime is 448400083. The reversal of 448400080 is 80004844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448400083) 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, 134271 + ... + 137569.

It is an arithmetic number, because the mean of its divisors is an integer number (26086500).

Almost surely, 2^448400080 is an apocalyptic number.

448400080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448400080 is an abundant number, since it is smaller than the sum of its proper divisors (595059920).

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

448400080 is a wasteful number, since it uses less digits than its factorization.

448400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 448400080 is about 21175.4593810855. The cubic root of 448400080 is about 765.4001807874.

The spelling of 448400080 in words is "four hundred forty-eight million, four hundred thousand, eighty".