448380320 has 24 divisors (see below), whose sum is σ = 1059298884. Its totient is φ = 179352064.

The previous prime is 448380299. The next prime is 448380337. The reversal of 448380320 is 23083844.

It can be written as a sum of positive squares in 2 ways, for example, as 448253584 + 126736 = 21172^2 + 356^2 .

It is a super-2 number, since 2×448380320² = 402089822726604800, 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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1401029 + ... + 1401348.

Almost surely, 2^448380320 is an apocalyptic number.

448380320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448380320 is an abundant number, since it is smaller than the sum of its proper divisors (610918564).

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

448380320 is a wasteful number, since it uses less digits than its factorization.

448380320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802392 (or 2802384 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 448380320 is about 21174.9927981098. The cubic root of 448380320 is about 765.3889374577.

The spelling of 448380320 in words is "four hundred forty-eight million, three hundred eighty thousand, three hundred twenty".