450776346720 has 288 divisors, whose sum is σ = 1738710489600. Its totient is φ = 97611623424.

The previous prime is 450776346707. The next prime is 450776346737. The reversal of 450776346720 is 27643677054.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 57480 + ... + 951239.

It is an arithmetic number, because the mean of its divisors is an integer number (6037189200).

Almost surely, 2^450776346720 is an apocalyptic number.

450776346720 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 450776346720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869355244800).

450776346720 is an abundant number, since it is smaller than the sum of its proper divisors (1287934142880).

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

450776346720 is a wasteful number, since it uses less digits than its factorization.

450776346720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008770 (or 1008755 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 51.

The spelling of 450776346720 in words is "four hundred fifty billion, seven hundred seventy-six million, three hundred forty-six thousand, seven hundred twenty".