450943395480 has 768 divisors, whose sum is σ = 1642277030400. Its totient is φ = 109992453120.

The previous prime is 450943395467. The next prime is 450943395491. The reversal of 450943395480 is 84593349054.

450943395480 is a `hidden beast` number, since 4 + 5 + 0 + 94 + 3 + 3 + 9 + 548 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 1593439419 + ... + 1593439701.

It is an arithmetic number, because the mean of its divisors is an integer number (2138381550).

Almost surely, 2^450943395480 is an apocalyptic number.

450943395480 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 450943395480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821138515200).

450943395480 is an abundant number, since it is smaller than the sum of its proper divisors (1191333634920).

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

450943395480 is a wasteful number, since it uses less digits than its factorization.

450943395480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 450943395480 in words is "four hundred fifty billion, nine hundred forty-three million, three hundred ninety-five thousand, four hundred eighty".