448640 has 32 divisors (see below), whose sum is σ = 1074060. Its totient is φ = 179200.

The previous prime is 448633. The next prime is 448667. The reversal of 448640 is 46844.

It can be written as a sum of positive squares in 2 ways, for example, as 440896 + 7744 = 664^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×448640³ = 270903883333632000, which contains 333 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 290 + ... + 990.

2⁴⁴⁸⁶⁴⁰ is an apocalyptic number.

448640 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 448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537030).

448640 is an abundant number, since it is smaller than the sum of its proper divisors (625420).

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

448640 is an equidigital number, since it uses as much as digits as its factorization.

448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 448640 is about 669.8059420459. The cubic root of 448640 is about 76.5536667582.

The spelling of 448640 in words is "four hundred forty-eight thousand, six hundred forty".