448674229440 has 672 divisors, whose sum is σ = 1628314361856. Its totient is φ = 113255055360.

The previous prime is 448674229429. The next prime is 448674229441. The reversal of 448674229440 is 44922476844.

448674229440 is a `hidden beast` number, since 4 + 486 + 74 + 2 + 2 + 94 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (448674229441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 891996229 + ... + 891996731.

It is an arithmetic number, because the mean of its divisors is an integer number (2423086848).

Almost surely, 2^448674229440 is an apocalyptic number.

448674229440 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 448674229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814157180928).

448674229440 is an abundant number, since it is smaller than the sum of its proper divisors (1179640132416).

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

448674229440 is a wasteful number, since it uses less digits than its factorization.

448674229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 448674229440 in words is "four hundred forty-eight billion, six hundred seventy-four million, two hundred twenty-nine thousand, four hundred forty".