448305 has 48 divisors (see below), whose sum is σ = 893760. Its totient is φ = 190080.

The previous prime is 448303. The next prime is 448309. The reversal of 448305 is 503844.

It is a happy number.

It is not a de Polignac number, because 448305 - 2¹ = 448303 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23586 + ... + 23604.

It is an arithmetic number, because the mean of its divisors is an integer number (18620).

2⁴⁴⁸³⁰⁵ is an apocalyptic number.

It is an amenable number.

448305 is a deficient number, since it is larger than the sum of its proper divisors (445455).

448305 is a wasteful number, since it uses less digits than its factorization.

448305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 448305 is about 669.5558229155. Note that the first 3 decimals coincide. The cubic root of 448305 is about 76.5346077769.

The spelling of 448305 in words is "four hundred forty-eight thousand, three hundred five".