448635 has 16 divisors (see below), whose sum is σ = 783360. Its totient is φ = 217440.

The previous prime is 448633. The next prime is 448667. The reversal of 448635 is 536844.

448635 = 77² + 78² + ... + 121².

It is not a de Polignac number, because 448635 - 2¹ = 448633 is a prime.

448635 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448635.

It is not an unprimeable number, because it can be changed into a prime (448631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195 + ... + 1524.

It is an arithmetic number, because the mean of its divisors is an integer number (48960).

2⁴⁴⁸⁶³⁵ is an apocalyptic number.

448635 is a deficient number, since it is larger than the sum of its proper divisors (334725).

448635 is a wasteful number, since it uses less digits than its factorization.

448635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738.

The product of its digits is 11520, while the sum is 30.

The square root of 448635 is about 669.8022096112. The cubic root of 448635 is about 76.5533823656.

Subtracting 448635 from its reverse (536844), we obtain a square (88209 = 297²).

The spelling of 448635 in words is "four hundred forty-eight thousand, six hundred thirty-five".