448740 has 60 divisors (see below), whose sum is σ = 1412796. Its totient is φ = 119232.

The previous prime is 448733. The next prime is 448741. The reversal of 448740 is 47844.

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 331776 = 342^2 + 576^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (448741) by changing a digit.

448740 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 19 ways as a sum of consecutive naturals, for example, 1482 + ... + 1758.

2⁴⁴⁸⁷⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706398).

448740 is an abundant number, since it is smaller than the sum of its proper divisors (964056).

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

448740 is a wasteful number, since it uses less digits than its factorization.

448740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 448740 is about 669.8805863734. The cubic root of 448740 is about 76.5593541676.

The spelling of 448740 in words is "four hundred forty-eight thousand, seven hundred forty".