448992 has 36 divisors (see below), whose sum is σ = 1277640. Its totient is φ = 149568.

The previous prime is 448969. The next prime is 448993. The reversal of 448992 is 299844.

It is a happy number.

448992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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 Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448993) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 492 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (35490).

2⁴⁴⁸⁹⁹² is an apocalyptic number.

It is an amenable number.

448992 is an abundant number, since it is smaller than the sum of its proper divisors (828648).

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

448992 is a wasteful number, since it uses less digits than its factorization.

448992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1564 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 448992 is about 670.0686531991. The cubic root of 448992 is about 76.5736826926.

It can be divided in two parts, 44899 and 2, that multiplied together give a palindrome (89798).

The spelling of 448992 in words is "four hundred forty-eight thousand, nine hundred ninety-two".