449755632 has 80 divisors (see below), whose sum is σ = 1304395680. Its totient is φ = 148359168.

The previous prime is 449755627. The next prime is 449755633. The reversal of 449755632 is 236557944.

449755632 is a `hidden beast` number, since 4 + 4 + 9 + 7 + 5 + 5 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449755633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36538 + ... + 47270.

It is an arithmetic number, because the mean of its divisors is an integer number (16304946).

Almost surely, 2^449755632 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 449755632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652197840).

449755632 is an abundant number, since it is smaller than the sum of its proper divisors (854640048).

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

449755632 is a wasteful number, since it uses less digits than its factorization.

449755632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10847 (or 10835 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 449755632 is about 21207.4428444355. The cubic root of 449755632 is about 766.1706950525.

The spelling of 449755632 in words is "four hundred forty-nine million, seven hundred fifty-five thousand, six hundred thirty-two".