450127908928 has 224 divisors, whose sum is σ = 968313024000. Its totient is φ = 207215124480.

The previous prime is 450127908911. The next prime is 450127908931. The reversal of 450127908928 is 829809721054.

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 31 ways as a sum of consecutive naturals, for example, 527699350 + ... + 527700202.

It is an arithmetic number, because the mean of its divisors is an integer number (4322826000).

Almost surely, 2^450127908928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450127908928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484156512000).

450127908928 is an abundant number, since it is smaller than the sum of its proper divisors (518185115072).

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

450127908928 is a wasteful number, since it uses less digits than its factorization.

450127908928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 450127908928 in words is "four hundred fifty billion, one hundred twenty-seven million, nine hundred eight thousand, nine hundred twenty-eight".