449820672480 has 144 divisors (see below), whose sum is σ = 1540678636224. Its totient is φ = 119509447680.

The previous prime is 449820672473. The next prime is 449820672547. The reversal of 449820672480 is 84276028944.

449820672480 is a `hidden beast` number, since 4 + 4 + 98 + 2 + 0 + 6 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186099 + ... + 966578.

It is an arithmetic number, because the mean of its divisors is an integer number (10699157196).

Almost surely, 2^449820672480 is an apocalyptic number.

449820672480 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 449820672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770339318112).

449820672480 is an abundant number, since it is smaller than the sum of its proper divisors (1090857963744).

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

449820672480 is a wasteful number, since it uses less digits than its factorization.

449820672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152969 (or 1152958 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 449820672480 in words is "four hundred forty-nine billion, eight hundred twenty million, six hundred seventy-two thousand, four hundred eighty".