450441551503260 has 144 divisors (see below), whose sum is σ = 1373445292931712. Its totient is φ = 119493201945600.

The previous prime is 450441551503217. The next prime is 450441551503289. The reversal of 450441551503260 is 62305155144054.

450441551503260 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 4 + 1 + 551 + 5 + 0 + 32 + 60 = 666.

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 47 ways as a sum of consecutive naturals, for example, 286833000 + ... + 288399120.

It is an arithmetic number, because the mean of its divisors is an integer number (9537814534248).

Almost surely, 2^{450441551503260} 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 450441551503260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686722646465856).

450441551503260 is an abundant number, since it is smaller than the sum of its proper divisors (923003741428452).

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

450441551503260 is a wasteful number, since it uses less digits than its factorization.

450441551503260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574444 (or 1574439 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 450441551503260 in words is "four hundred fifty trillion, four hundred forty-one billion, five hundred fifty-one million, five hundred three thousand, two hundred sixty".