449348582976 has 224 divisors, whose sum is σ = 1282566700800. Its totient is φ = 138487726080.

The previous prime is 449348582933. The next prime is 449348582981. The reversal of 449348582976 is 679285843944.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 449348582976.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19723720 + ... + 19746488.

It is an arithmetic number, because the mean of its divisors is an integer number (5725744200).

Almost surely, 2^449348582976 is an apocalyptic number.

449348582976 is a gapful number since it is divisible by the number (46) 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 449348582976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641283350400).

449348582976 is an abundant number, since it is smaller than the sum of its proper divisors (833218117824).

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

449348582976 is a wasteful number, since it uses less digits than its factorization.

449348582976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22957 (or 22947 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 69.

The spelling of 449348582976 in words is "four hundred forty-nine billion, three hundred forty-eight million, five hundred eighty-two thousand, nine hundred seventy-six".