450848284992 has 504 divisors, whose sum is σ = 1536741712896. Its totient is φ = 125975678976.

The previous prime is 450848284987. The next prime is 450848285009. The reversal of 450848284992 is 299482848054.

450848284992 is a `hidden beast` number, since 4 + 508 + 4 + 82 + 8 + 49 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 71 ways as a sum of consecutive naturals, for example, 261663843 + ... + 261665565.

Almost surely, 2^450848284992 is an apocalyptic number.

450848284992 is a gapful number since it is divisible by the number (42) 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 450848284992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768370856448).

450848284992 is an abundant number, since it is smaller than the sum of its proper divisors (1085893427904).

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

450848284992 is a wasteful number, since it uses less digits than its factorization.

450848284992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 450848284992 in words is "four hundred fifty billion, eight hundred forty-eight million, two hundred eighty-four thousand, nine hundred ninety-two".