449247168000 has 1280 divisors, whose sum is σ = 1804901978880. Its totient is φ = 109707264000.

The previous prime is 449247167989. The next prime is 449247168023. The reversal of 449247168000 is 861742944.

449247168000 is a `hidden beast` number, since 449 + 2 + 47 + 168 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1204415814 + ... + 1204416186.

It is an arithmetic number, because the mean of its divisors is an integer number (1410079671).

Almost surely, 2^449247168000 is an apocalyptic number.

449247168000 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 449247168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902450989440).

449247168000 is an abundant number, since it is smaller than the sum of its proper divisors (1355654810880).

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

449247168000 is a wasteful number, since it uses less digits than its factorization.

449247168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 449247168000 in words is "four hundred forty-nine billion, two hundred forty-seven million, one hundred sixty-eight thousand".