448720 has 40 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 174720.

The previous prime is 448703. The next prime is 448727. The reversal of 448720 is 27844.

448720 = 15² + 16² + ... + 110².

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448727) 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, 5641 + ... + 5719.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2⁴⁴⁸⁷²⁰ is an apocalyptic number.

448720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

448720 is an abundant number, since it is smaller than the sum of its proper divisors (622640).

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

448720 is a wasteful number, since it uses less digits than its factorization.

448720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 448720 is about 669.8656581733. The cubic root of 448720 is about 76.5582167533.

The spelling of 448720 in words is "four hundred forty-eight thousand, seven hundred twenty".