450016128 has 128 divisors (see below), whose sum is σ = 1351296000. Its totient is φ = 147396096.

The previous prime is 450016111. The next prime is 450016141. The reversal of 450016128 is 821610054.

450016128 is a `hidden beast` number, since 45 + 0 + 0 + 1 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×450016128³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

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, 202801 + ... + 205007.

It is an arithmetic number, because the mean of its divisors is an integer number (10557000).

Almost surely, 2^450016128 is an apocalyptic number.

450016128 is a gapful number since it is divisible by the number (48) 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 450016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675648000).

450016128 is an abundant number, since it is smaller than the sum of its proper divisors (901279872).

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

450016128 is a wasteful number, since it uses less digits than its factorization.

450016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 450016128 is about 21213.5835727960. The cubic root of 450016128 is about 766.3185871275.

The spelling of 450016128 in words is "four hundred fifty million, sixteen thousand, one hundred twenty-eight".