450138752 has 64 divisors (see below), whose sum is σ = 1044316800. Its totient is φ = 189256704.

The previous prime is 450138743. The next prime is 450138779. The reversal of 450138752 is 257831054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42749 + ... + 52227.

It is an arithmetic number, because the mean of its divisors is an integer number (16317450).

Almost surely, 2^450138752 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 450138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522158400).

450138752 is an abundant number, since it is smaller than the sum of its proper divisors (594178048).

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

450138752 is an equidigital number, since it uses as much as digits as its factorization.

450138752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9553 (or 9541 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 450138752 is about 21216.4735995405. The cubic root of 450138752 is about 766.3881850158.

The spelling of 450138752 in words is "four hundred fifty million, one hundred thirty-eight thousand, seven hundred fifty-two".