449489594880 has 120 divisors (see below), whose sum is σ = 1556708965812. Its totient is φ = 119863885824.

The previous prime is 449489594867. The next prime is 449489594989. The reversal of 449489594880 is 88495984944.

449489594880 is a `hidden beast` number, since 4 + 4 + 94 + 8 + 9 + 59 + 488 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 438710171904 + 10779422976 = 662352^2 + 103824^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 449489594799 and 449489594808.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9731509 + ... + 9777588.

Almost surely, 2^449489594880 is an apocalyptic number.

449489594880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449489594880 is an abundant number, since it is smaller than the sum of its proper divisors (1107219370932).

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

449489594880 is a wasteful number, since it uses less digits than its factorization.

449489594880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19509126 (or 19509107 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 449489594880 in words is "four hundred forty-nine billion, four hundred eighty-nine million, five hundred ninety-four thousand, eight hundred eighty".