448960 has 56 divisors (see below), whose sum is σ = 1133856. Its totient is φ = 168960.

The previous prime is 448939. The next prime is 448969. The reversal of 448960 is 69844.

448960 = T₈₅ + T₈₆ + ... + T₁₄₈.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448969) by changing a digit.

448960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7330 + ... + 7390.

2⁴⁴⁸⁹⁶⁰ is an apocalyptic number.

448960 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 448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566928).

448960 is an abundant number, since it is smaller than the sum of its proper divisors (684896).

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

448960 is a wasteful number, since it uses less digits than its factorization.

448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 448960 is about 670.0447746233. The cubic root of 448960 is about 76.5718634945.

The spelling of 448960 in words is "four hundred forty-eight thousand, nine hundred sixty".