448737456 has 80 divisors (see below), whose sum is σ = 1199173248. Its totient is φ = 144499200.

The previous prime is 448737451. The next prime is 448737463. The reversal of 448737456 is 654737844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (448737451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209511 + ... + 211641.

Almost surely, 2^448737456 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 448737456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599586624).

448737456 is an abundant number, since it is smaller than the sum of its proper divisors (750435792).

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

448737456 is a wasteful number, since it uses less digits than its factorization.

448737456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2284 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 48.

The square root of 448737456 is about 21183.4240858271. The cubic root of 448737456 is about 765.5920949035.

The spelling of 448737456 in words is "four hundred forty-eight million, seven hundred thirty-seven thousand, four hundred fifty-six".