448916 has 24 divisors (see below), whose sum is σ = 864360. Its totient is φ = 202752.

The previous prime is 448907. The next prime is 448927. The reversal of 448916 is 619844.

448916 = 14² + 15² + ... + 110².

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 448900 = 4^2 + 670^2 .

It is a congruent number.

It is an unprimeable number.

448916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4580 + ... + 4676.

It is an arithmetic number, because the mean of its divisors is an integer number (36015).

2⁴⁴⁸⁹¹⁶ is an apocalyptic number.

It is an amenable number.

448916 is a deficient number, since it is larger than the sum of its proper divisors (415444).

448916 is a wasteful number, since it uses less digits than its factorization.

448916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 448916 is about 670.0119401921. The cubic root of 448916 is about 76.5693619561.

It can be divided in two parts, 4489 and 16, that multiplied together give a square (71824 = 268²).

The spelling of 448916 in words is "four hundred forty-eight thousand, nine hundred sixteen".