448791440 has 40 divisors (see below), whose sum is σ = 1044863928. Its totient is φ = 179271680.

The previous prime is 448791401. The next prime is 448791451. The reversal of 448791440 is 44197844.

It can be written as a sum of positive squares in 4 ways, for example, as 29584 + 448761856 = 172^2 + 21184^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62264 + ... + 69096.

Almost surely, 2^448791440 is an apocalyptic number.

448791440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448791440 is an abundant number, since it is smaller than the sum of its proper divisors (596072488).

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

448791440 is a wasteful number, since it uses less digits than its factorization.

448791440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7667 (or 7661 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 448791440 is about 21184.6982513323. The cubic root of 448791440 is about 765.6227944182.

The spelling of 448791440 in words is "four hundred forty-eight million, seven hundred ninety-one thousand, four hundred forty".