450240032 has 90 divisors (see below), whose sum is σ = 1007512695. Its totient is φ = 198052800.

The previous prime is 450240023. The next prime is 450240061. The reversal of 450240032 is 230042054.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 225120016 + 225120016 = 15004^2 + 15004^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15004.

It is a super-2 number, since 2×450240032² = 405432172830722048, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 450239986 and 450240013.

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 14 ways as a sum of consecutive naturals, for example, 14523857 + ... + 14523887.

Almost surely, 2^450240032 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 450240032

450240032 is an abundant number, since it is smaller than the sum of its proper divisors (557272663).

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

450240032 is an frugal number, since it uses more digits than its factorization.

450240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 450240032 is about 21218.8602898459. The cubic root of 450240032 is about 766.4456591275.

Adding to 450240032 its reverse (230042054), we get a palindrome (680282086).

The spelling of 450240032 in words is "four hundred fifty million, two hundred forty thousand, thirty-two".