450330672 has 80 divisors (see below), whose sum is σ = 1274739840. Its totient is φ = 135859200.

The previous prime is 450330637. The next prime is 450330691. The reversal of 450330672 is 276033054.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125479 + ... + 129017.

It is an arithmetic number, because the mean of its divisors is an integer number (15934248).

Almost surely, 2^450330672 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 450330672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637369920).

450330672 is an abundant number, since it is smaller than the sum of its proper divisors (824409168).

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

450330672 is a wasteful number, since it uses less digits than its factorization.

450330672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 450330672 is about 21220.9960180949. The cubic root of 450330672 is about 766.4970879716.

The spelling of 450330672 in words is "four hundred fifty million, three hundred thirty thousand, six hundred seventy-two".