449226408960 has 1584 divisors, whose sum is σ = 1945012892160. Its totient is φ = 93852794880.

The previous prime is 449226408941. The next prime is 449226409001. The reversal of 449226408960 is 69804622944.

449226408960 is a `hidden beast` number, since 4 + 4 + 9 + 226 + 408 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 449226408897 and 449226408906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5686410201 + ... + 5686410279.

Almost surely, 2^449226408960 is an apocalyptic number.

449226408960 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 449226408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972506446080).

449226408960 is an abundant number, since it is smaller than the sum of its proper divisors (1495786483200).

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

449226408960 is a wasteful number, since it uses less digits than its factorization.

449226408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 449226408960 in words is "four hundred forty-nine billion, two hundred twenty-six million, four hundred eight thousand, nine hundred sixty".