449985536 has 176 divisors, whose sum is σ = 1210513920. Its totient is φ = 161464320.

The previous prime is 449985517. The next prime is 449985541. The reversal of 449985536 is 635589944.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024805 + ... + 1025243.

It is an arithmetic number, because the mean of its divisors is an integer number (6877920).

Almost surely, 2^449985536 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 449985536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605256960).

449985536 is an abundant number, since it is smaller than the sum of its proper divisors (760528384).

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

449985536 is a wasteful number, since it uses less digits than its factorization.

449985536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 472 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 53.

The square root of 449985536 is about 21212.8625131075. The cubic root of 449985536 is about 766.3012220096.

The spelling of 449985536 in words is "four hundred forty-nine million, nine hundred eighty-five thousand, five hundred thirty-six".