450628672 has 56 divisors (see below), whose sum is σ = 972032600. Its totient is φ = 206032896.

The previous prime is 450628669. The next prime is 450628697. The reversal of 450628672 is 276826054.

It can be written as a sum of positive squares in 4 ways, for example, as 8620096 + 442008576 = 2936^2 + 21024^2 .

It is a congruent number.

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, 88204 + ... + 93172.

It is an arithmetic number, because the mean of its divisors is an integer number (17357725).

Almost surely, 2^450628672 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 450628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486016300).

450628672 is an abundant number, since it is smaller than the sum of its proper divisors (521403928).

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

450628672 is a wasteful number, since it uses less digits than its factorization.

450628672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 450628672 is about 21228.0162050061. The cubic root of 450628672 is about 766.6661235871. Note that the first 3 decimals are identical.

The spelling of 450628672 in words is "four hundred fifty million, six hundred twenty-eight thousand, six hundred seventy-two".