448377120 has 240 divisors, whose sum is σ = 1638335160. Its totient is φ = 115347456.

The previous prime is 448377119. The next prime is 448377151. The reversal of 448377120 is 21773844.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 365421456 + 82955664 = 19116^2 + 9108^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 375244 + ... + 376436.

Almost surely, 2^448377120 is an apocalyptic number.

448377120 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 448377120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819167580).

448377120 is an abundant number, since it is smaller than the sum of its proper divisors (1189958040).

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

448377120 is a wasteful number, since it uses less digits than its factorization.

448377120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 448377120 is about 21174.9172371464. The cubic root of 448377120 is about 765.3871166445.

The spelling of 448377120 in words is "four hundred forty-eight million, three hundred seventy-seven thousand, one hundred twenty".