448059120 has 80 divisors (see below), whose sum is σ = 1433812992. Its totient is φ = 115626240.

The previous prime is 448059119. The next prime is 448059173. The reversal of 448059120 is 21950844.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22672 + ... + 37551.

Almost surely, 2^448059120 is an apocalyptic number.

448059120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448059120 is an abundant number, since it is smaller than the sum of its proper divisors (985753872).

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

448059120 is a wasteful number, since it uses less digits than its factorization.

448059120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60270 (or 60264 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 448059120 is about 21167.4070211729. The cubic root of 448059120 is about 765.2061301081.

The spelling of 448059120 in words is "four hundred forty-eight million, fifty-nine thousand, one hundred twenty".