450090005 has 16 divisors (see below), whose sum is σ = 572367600. Its totient is φ = 339171840.

The previous prime is 450089971. The next prime is 450090007. The reversal of 450090005 is 500090054.

450090005 = 15001² + 15002².

It can be written as a sum of positive squares in 8 ways, for example, as 9006001 + 441084004 = 3001^2 + 21002^2 .

It is not a de Polignac number, because 450090005 - 2¹⁴ = 450073621 is a prime.

It is a super-3 number, since 3×450090005³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450090007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31910 + ... + 43799.

It is an arithmetic number, because the mean of its divisors is an integer number (35772975).

Almost surely, 2^450090005 is an apocalyptic number.

450090005 is the 15002-nd centered square number.

It is an amenable number.

450090005 is a deficient number, since it is larger than the sum of its proper divisors (122277595).

450090005 is a wasteful number, since it uses less digits than its factorization.

450090005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75784.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 450090005 is about 21215.3247677239. The cubic root of 450090005 is about 766.3605191214.

The spelling of 450090005 in words is "four hundred fifty million, ninety thousand, five".