449082144 has 240 divisors, whose sum is σ = 1541187648. Its totient is φ = 125618688.

The previous prime is 449082113. The next prime is 449082169. The reversal of 449082144 is 441280944.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 449082099 and 449082108.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 961399 + ... + 961865.

Almost surely, 2^449082144 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 449082144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770593824).

449082144 is an abundant number, since it is smaller than the sum of its proper divisors (1092105504).

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

449082144 is a wasteful number, since it uses less digits than its factorization.

449082144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 449082144 is about 21191.5583192931. The cubic root of 449082144 is about 765.7880690869.

The spelling of 449082144 in words is "four hundred forty-nine million, eighty-two thousand, one hundred forty-four".