450030194432 has 288 divisors, whose sum is σ = 1142123165568. Its totient is φ = 172247482368.

The previous prime is 450030194401. The next prime is 450030194441. The reversal of 450030194432 is 234491030054.

It is a junction number, because it is equal to n+sod(n) for n = 450030194392 and 450030194401.

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 31 ways as a sum of consecutive naturals, for example, 90129728 + ... + 90134720.

It is an arithmetic number, because the mean of its divisors is an integer number (3965705436).

Almost surely, 2^450030194432 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 450030194432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571061582784).

450030194432 is an abundant number, since it is smaller than the sum of its proper divisors (692092971136).

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

450030194432 is a wasteful number, since it uses less digits than its factorization.

450030194432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 450030194432 in words is "four hundred fifty billion, thirty million, one hundred ninety-four thousand, four hundred thirty-two".