449865768960 has 336 divisors, whose sum is σ = 1567767384144. Its totient is φ = 119323754496.

The previous prime is 449865768883. The next prime is 449865768971. The reversal of 449865768960 is 69867568944.

449865768960 is a `hidden beast` number, since 4 + 49 + 8 + 6 + 576 + 8 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71144359 + ... + 71150681.

Almost surely, 2^449865768960 is an apocalyptic number.

449865768960 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 449865768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783883692072).

449865768960 is an abundant number, since it is smaller than the sum of its proper divisors (1117901615184).

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

449865768960 is a wasteful number, since it uses less digits than its factorization.

449865768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553 (or 6526 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 449865768960 in words is "four hundred forty-nine billion, eight hundred sixty-five million, seven hundred sixty-eight thousand, nine hundred sixty".