448968 has 32 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 138048.

The previous prime is 448939. The next prime is 448969. The reversal of 448968 is 869844.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (448969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁴⁴⁸⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

448968 is an abundant number, since it is smaller than the sum of its proper divisors (760632).

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

448968 is a wasteful number, since it uses less digits than its factorization.

448968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1457 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 448968 is about 670.0507443470. The cubic root of 448968 is about 76.5723183022.

The spelling of 448968 in words is "four hundred forty-eight thousand, nine hundred sixty-eight".