450253893152 has 192 divisors, whose sum is σ = 1084711315968. Its totient is φ = 179773440000.

The previous prime is 450253893139. The next prime is 450253893157. The reversal of 450253893152 is 251398352054.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 450253893097 and 450253893106.

It is not an unprimeable number, because it can be changed into a prime (450253893157) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 160746152 + ... + 160748952.

It is an arithmetic number, because the mean of its divisors is an integer number (5649538104).

Almost surely, 2^450253893152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450253893152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542355657984).

450253893152 is an abundant number, since it is smaller than the sum of its proper divisors (634457422816).

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

450253893152 is a wasteful number, since it uses less digits than its factorization.

450253893152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 47.

The spelling of 450253893152 in words is "four hundred fifty billion, two hundred fifty-three million, eight hundred ninety-three thousand, one hundred fifty-two".