450986104800 has 1728 divisors, whose sum is σ = 2123414092800. Its totient is φ = 87190732800.

The previous prime is 450986104787. The next prime is 450986104819. The reversal of 450986104800 is 8401689054.

450986104800 is a `hidden beast` number, since 4 + 509 + 8 + 61 + 0 + 4 + 80 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1027302981 + ... + 1027303419.

It is an arithmetic number, because the mean of its divisors is an integer number (1228827600).

Almost surely, 2^450986104800 is an apocalyptic number.

450986104800 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 450986104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061707046400).

450986104800 is an abundant number, since it is smaller than the sum of its proper divisors (1672427988000).

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

450986104800 is a wasteful number, since it uses less digits than its factorization.

450986104800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 450986104800 in words is "four hundred fifty billion, nine hundred eighty-six million, one hundred four thousand, eight hundred".