448752 has 20 divisors (see below), whose sum is σ = 1159400. Its totient is φ = 149568.

The previous prime is 448741. The next prime is 448769. The reversal of 448752 is 257844.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 448752.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4627 + ... + 4722.

It is an arithmetic number, because the mean of its divisors is an integer number (57970).

448752 is a Friedman number, since it can be written as 7*4^8-(5*2)^4, using all its digits and the basic arithmetic operations.

2⁴⁴⁸⁷⁵² is an apocalyptic number.

It is an amenable number.

448752 is an abundant number, since it is smaller than the sum of its proper divisors (710648).

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

448752 is a wasteful number, since it uses less digits than its factorization.

448752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9360 (or 9354 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 448752 is about 669.8895431338. The cubic root of 448752 is about 76.5600365999.

The spelling of 448752 in words is "four hundred forty-eight thousand, seven hundred fifty-two".