448938 has 36 divisors (see below), whose sum is σ = 1133730. Its totient is φ = 128016.

The previous prime is 448927. The next prime is 448939. The reversal of 448938 is 839844.

It can be written as a sum of positive squares in only one way, i.e., 321489 + 127449 = 567^2 + 357^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (448939) 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 17 ways as a sum of consecutive naturals, for example, 628 + ... + 1136.

2⁴⁴⁸⁹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566865).

448938 is an abundant number, since it is smaller than the sum of its proper divisors (684792).

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

448938 is a wasteful number, since it uses less digits than its factorization.

448938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 521 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 448938 is about 670.0283576088. The cubic root of 448938 is about 76.5706127458.

The spelling of 448938 in words is "four hundred forty-eight thousand, nine hundred thirty-eight".