450522072 has 576 divisors, whose sum is σ = 1792627200. Its totient is φ = 100154880.

The previous prime is 450522041. The next prime is 450522097. The reversal of 450522072 is 270225054.

450522072 is a `hidden beast` number, since 450 + 5 + 2 + 207 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9585553 + ... + 9585599.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2^450522072 is an apocalyptic number.

450522072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450522072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896313600).

450522072 is an abundant number, since it is smaller than the sum of its proper divisors (1342105128).

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

450522072 is a wasteful number, since it uses less digits than its factorization.

450522072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 450522072 is about 21225.5052236690. The cubic root of 450522072 is about 766.6056650477.

The spelling of 450522072 in words is "four hundred fifty million, five hundred twenty-two thousand, seventy-two".