450300072 has 64 divisors (see below), whose sum is σ = 1181122560. Its totient is φ = 142788800.

The previous prime is 450300061. The next prime is 450300083. The reversal of 450300072 is 270003054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (450300061) and next prime (450300083).

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 15 ways as a sum of consecutive naturals, for example, 103297 + ... + 107567.

It is an arithmetic number, because the mean of its divisors is an integer number (18455040).

Almost surely, 2^450300072 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 450300072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590561280).

450300072 is an abundant number, since it is smaller than the sum of its proper divisors (730822488).

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

450300072 is a wasteful number, since it uses less digits than its factorization.

450300072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 450300072 is about 21220.2750217805. The cubic root of 450300072 is about 766.4797264018.

The spelling of 450300072 in words is "four hundred fifty million, three hundred thousand, seventy-two".