450984905280 has 2688 divisors, whose sum is σ = 2200908423168. Its totient is φ = 85136375808.

The previous prime is 450984905237. The next prime is 450984905311. The reversal of 450984905280 is 82509489054.

It is a happy number.

450984905280 is a `hidden beast` number, since 4 + 509 + 8 + 4 + 9 + 0 + 52 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2766778479 + ... + 2766778641.

It is an arithmetic number, because the mean of its divisors is an integer number (818790336).

Almost surely, 2^450984905280 is an apocalyptic number.

450984905280 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 450984905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100454211584).

450984905280 is an abundant number, since it is smaller than the sum of its proper divisors (1749923517888).

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

450984905280 is a wasteful number, since it uses less digits than its factorization.

450984905280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 450984905280 in words is "four hundred fifty billion, nine hundred eighty-four million, nine hundred five thousand, two hundred eighty".