450453402000 has 960 divisors, whose sum is σ = 1848500259840. Its totient is φ = 100113408000.

The previous prime is 450453401947. The next prime is 450453402019. The reversal of 450453402000 is 204354054.

450453402000 is a `hidden beast` number, since 4 + 5 + 0 + 453 + 4 + 0 + 200 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 791657716 + ... + 791658284.

It is an arithmetic number, because the mean of its divisors is an integer number (1925521104).

Almost surely, 2^450453402000 is an apocalyptic number.

450453402000 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 450453402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924250129920).

450453402000 is an abundant number, since it is smaller than the sum of its proper divisors (1398046857840).

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

450453402000 is a wasteful number, since it uses less digits than its factorization.

450453402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 450453402000 its reverse (204354054), we get a palindrome (450657756054).

The spelling of 450453402000 in words is "four hundred fifty billion, four hundred fifty-three million, four hundred two thousand".