450298272 has 48 divisors (see below), whose sum is σ = 1187252640. Its totient is φ = 149436672.

The previous prime is 450298241. The next prime is 450298273. The reversal of 450298272 is 272892054.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 450298272.

It is not an unprimeable number, because it can be changed into a prime (450298273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11743 + ... + 32225.

It is an arithmetic number, because the mean of its divisors is an integer number (24734430).

Almost surely, 2^450298272 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 450298272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593626320).

450298272 is an abundant number, since it is smaller than the sum of its proper divisors (736954368).

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

450298272 is a wasteful number, since it uses less digits than its factorization.

450298272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20725 (or 20717 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 450298272 is about 21220.2326094697. The cubic root of 450298272 is about 766.4787051085.

It can be divided in two parts, 4502982 and 72, that added together give a palindrome (4503054).

The spelling of 450298272 in words is "four hundred fifty million, two hundred ninety-eight thousand, two hundred seventy-two".