450893736480 has 192 divisors, whose sum is σ = 1575697536000. Its totient is φ = 107454827520.

The previous prime is 450893736443. The next prime is 450893736571. The reversal of 450893736480 is 84637398054.

It is a self number, because there is not a number n which added to its sum of digits gives 450893736480.

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 31 ways as a sum of consecutive naturals, for example, 412180 + ... + 1035219.

It is an arithmetic number, because the mean of its divisors is an integer number (8206758000).

Almost surely, 2^450893736480 is an apocalyptic number.

450893736480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450893736480 is an abundant number, since it is smaller than the sum of its proper divisors (1124803799520).

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

450893736480 is a wasteful number, since it uses less digits than its factorization.

450893736480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447487 (or 1447479 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 450893736480 in words is "four hundred fifty billion, eight hundred ninety-three million, seven hundred thirty-six thousand, four hundred eighty".