448736 has 24 divisors (see below), whose sum is σ = 909720. Its totient is φ = 217728.

The previous prime is 448733. The next prime is 448741. The reversal of 448736 is 637844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448733) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 995 + ... + 1373.

It is an arithmetic number, because the mean of its divisors is an integer number (37905).

2⁴⁴⁸⁷³⁶ 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 448736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454860).

448736 is an abundant number, since it is smaller than the sum of its proper divisors (460984).

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

448736 is a wasteful number, since it uses less digits than its factorization.

448736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 448736 is about 669.8776007600. The cubic root of 448736 is about 76.5591266874.

The spelling of 448736 in words is "four hundred forty-eight thousand, seven hundred thirty-six".