450007272 has 256 divisors, whose sum is σ = 1556755200. Its totient is φ = 118333440.

The previous prime is 450007247. The next prime is 450007279. The reversal of 450007272 is 272700054.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (450007279) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 524668 + ... + 525524.

It is an arithmetic number, because the mean of its divisors is an integer number (6081075).

Almost surely, 2^450007272 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 450007272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778377600).

450007272 is an abundant number, since it is smaller than the sum of its proper divisors (1106747928).

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

450007272 is a wasteful number, since it uses less digits than its factorization.

450007272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 450007272 is about 21213.3748375877. The cubic root of 450007272 is about 766.3135602248.

The spelling of 450007272 in words is "four hundred fifty million, seven thousand, two hundred seventy-two".