449284681440 has 576 divisors, whose sum is σ = 1819407163392. Its totient is φ = 98794598400.

The previous prime is 449284681403. The next prime is 449284681453. The reversal of 449284681440 is 44186482944.

449284681440 is a `hidden beast` number, since 4 + 49 + 2 + 84 + 6 + 81 + 440 = 666.

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 95 ways as a sum of consecutive naturals, for example, 54054885 + ... + 54063195.

It is an arithmetic number, because the mean of its divisors is an integer number (3158692992).

Almost surely, 2^449284681440 is an apocalyptic number.

449284681440 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 449284681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909703581696).

449284681440 is an abundant number, since it is smaller than the sum of its proper divisors (1370122481952).

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

449284681440 is a wasteful number, since it uses less digits than its factorization.

449284681440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8543 (or 8532 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 449284681440 in words is "four hundred forty-nine billion, two hundred eighty-four million, six hundred eighty-one thousand, four hundred forty".