449907614677728 has 384 divisors, whose sum is σ = 1364979310732800. Its totient is φ = 144095876812800.

The previous prime is 449907614677723. The next prime is 449907614677739. The reversal of 449907614677728 is 827776416709944.

449907614677728 is a `hidden beast` number, since 4 + 4 + 9 + 9 + 0 + 7 + 61 + 467 + 77 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449907614677723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388746643 + ... + 389902253.

It is an arithmetic number, because the mean of its divisors is an integer number (3554633621700).

Almost surely, 2^{449907614677728} is an apocalyptic number.

449907614677728 is a gapful number since it is divisible by the number (48) 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 449907614677728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682489655366400).

449907614677728 is an abundant number, since it is smaller than the sum of its proper divisors (915071696055072).

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

449907614677728 is a wasteful number, since it uses less digits than its factorization.

449907614677728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155863 (or 1155849 counting only the distinct ones).

The product of its (nonzero) digits is 7169347584, while the sum is 81.

The spelling of 449907614677728 in words is "four hundred forty-nine trillion, nine hundred seven billion, six hundred fourteen million, six hundred seventy-seven thousand, seven hundred twenty-eight".