448137 has 24 divisors (see below), whose sum is σ = 716040. Its totient is φ = 268800.

The previous prime is 448121. The next prime is 448139. The reversal of 448137 is 731844.

It can be written as a sum of positive squares in 4 ways, for example, as 251001 + 197136 = 501^2 + 444^2 .

It is not a de Polignac number, because 448137 - 2⁴ = 448121 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 448137.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448137.

It is not an unprimeable number, because it can be changed into a prime (448139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4387 + ... + 4487.

It is an arithmetic number, because the mean of its divisors is an integer number (29835).

2⁴⁴⁸¹³⁷ is an apocalyptic number.

It is an amenable number.

448137 is a deficient number, since it is larger than the sum of its proper divisors (267903).

448137 is a wasteful number, since it uses less digits than its factorization.

448137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 150 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 448137 is about 669.4303548540. The cubic root of 448137 is about 76.5250462651.

It can be divided in two parts, 448 and 137, that added together give a palindrome (585).

The spelling of 448137 in words is "four hundred forty-eight thousand, one hundred thirty-seven".