450441464410504 has 128 divisors (see below), whose sum is σ = 990611977824000. Its totient is φ = 187987893903360.

The previous prime is 450441464410499. The next prime is 450441464410537. The reversal of 450441464410504 is 405014464144054.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10174157712 + ... + 10174201984.

It is an arithmetic number, because the mean of its divisors is an integer number (7739156076750).

Almost surely, 2^{450441464410504} 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 450441464410504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495305988912000).

450441464410504 is an abundant number, since it is smaller than the sum of its proper divisors (540170513413496).

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

450441464410504 is a wasteful number, since it uses less digits than its factorization.

450441464410504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52463 (or 52459 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 46.

The spelling of 450441464410504 in words is "four hundred fifty trillion, four hundred forty-one billion, four hundred sixty-four million, four hundred ten thousand, five hundred four".