449269879628448 has 480 divisors, whose sum is σ = 1445905262850048. Its totient is φ = 136234242662400.

The previous prime is 449269879628447. The next prime is 449269879628459. The reversal of 449269879628448 is 844826978962944.

449269879628448 is a `hidden beast` number, since 4 + 4 + 9 + 2 + 6 + 98 + 79 + 6 + 2 + 8 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (449269879628447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1121272561 + ... + 1121673167.

Almost surely, 2^{449269879628448} is an apocalyptic number.

449269879628448 is a gapful number since it is divisible by the number (48) 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 449269879628448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722952631425024).

449269879628448 is an abundant number, since it is smaller than the sum of its proper divisors (996635383221600).

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

449269879628448 is a wasteful number, since it uses less digits than its factorization.

449269879628448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401498 (or 401481 counting only the distinct ones).

The product of its digits is 96315899904, while the sum is 90.

The spelling of 449269879628448 in words is "four hundred forty-nine trillion, two hundred sixty-nine billion, eight hundred seventy-nine million, six hundred twenty-eight thousand, four hundred forty-eight".