450320013 has 96 divisors (see below), whose sum is σ = 825834240. Its totient is φ = 240451200.

The previous prime is 450320011. The next prime is 450320023. The reversal of 450320013 is 310023054.

450320013 is a `hidden beast` number, since 450 + 3 + 200 + 13 = 666.

It is not a de Polignac number, because 450320013 - 2¹ = 450320011 is a prime.

It is a super-2 number, since 2×450320013² = 405576228216640338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450320011) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 976603 + ... + 977063.

It is an arithmetic number, because the mean of its divisors is an integer number (8602440).

Almost surely, 2^450320013 is an apocalyptic number.

It is an amenable number.

450320013 is a deficient number, since it is larger than the sum of its proper divisors (375514227).

450320013 is a wasteful number, since it uses less digits than its factorization.

450320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 450320013 is about 21220.7448738257. The cubic root of 450320013 is about 766.4910404474.

Adding to 450320013 its reverse (310023054), we get a palindrome (760343067).

The spelling of 450320013 in words is "four hundred fifty million, three hundred twenty thousand, thirteen".