450748672 has 72 divisors (see below), whose sum is σ = 998534880. Its totient is φ = 201338880.

The previous prime is 450748651. The next prime is 450748699. The reversal of 450748672 is 276847054.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164788 + ... + 167500.

It is an arithmetic number, because the mean of its divisors is an integer number (13868540).

Almost surely, 2^450748672 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 450748672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499267440).

450748672 is an abundant number, since it is smaller than the sum of its proper divisors (547786208).

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

450748672 is a wasteful number, since it uses less digits than its factorization.

450748672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The square root of 450748672 is about 21230.8424703308. The cubic root of 450748672 is about 766.7341705737.

The spelling of 450748672 in words is "four hundred fifty million, seven hundred forty-eight thousand, six hundred seventy-two".