448917160 has 32 divisors (see below), whose sum is σ = 1012956840. Its totient is φ = 179052544.

The previous prime is 448917149. The next prime is 448917193. The reversal of 448917160 is 61719844.

It can be written as a sum of positive squares in 4 ways, for example, as 385651044 + 63266116 = 19638^2 + 7954^2 .

It is a Harshad number since it is a multiple of its sum of digits (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, 1777 + ... + 30016.

Almost surely, 2^448917160 is an apocalyptic number.

448917160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448917160 is an abundant number, since it is smaller than the sum of its proper divisors (564039680).

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

448917160 is a wasteful number, since it uses less digits than its factorization.

448917160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32157 (or 32153 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 448917160 is about 21187.6652795913. The cubic root of 448917160 is about 765.6942790787.

The spelling of 448917160 in words is "four hundred forty-eight million, nine hundred seventeen thousand, one hundred sixty".