448893144 has 256 divisors, whose sum is σ = 1504665600. Its totient is φ = 121305600.

The previous prime is 448893131. The next prime is 448893149. The reversal of 448893144 is 441398844.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 448893144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448893149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2859114 + ... + 2859270.

It is an arithmetic number, because the mean of its divisors is an integer number (5877600).

Almost surely, 2^448893144 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 448893144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752332800).

448893144 is an abundant number, since it is smaller than the sum of its proper divisors (1055772456).

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

448893144 is a wasteful number, since it uses less digits than its factorization.

448893144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 448893144 is about 21187.0985271698. The cubic root of 448893144 is about 765.6806245612.

The spelling of 448893144 in words is "four hundred forty-eight million, eight hundred ninety-three thousand, one hundred forty-four".