450330034 has 64 divisors (see below), whose sum is σ = 916012800. Its totient is φ = 160634880.

The previous prime is 450330031. The next prime is 450330037. The reversal of 450330034 is 430033054.

It is an interprime number because it is at equal distance from previous prime (450330031) and next prime (450330037).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 450329987 and 450330014.

It is not an unprimeable number, because it can be changed into a prime (450330031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94542 + ... + 99190.

It is an arithmetic number, because the mean of its divisors is an integer number (14312700).

Almost surely, 2^450330034 is an apocalyptic number.

450330034 is an abundant number, since it is smaller than the sum of its proper divisors (465682766).

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

450330034 is a wasteful number, since it uses less digits than its factorization.

450330034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723.

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 450330034 is about 21220.9809858074. The cubic root of 450330034 is about 766.4967259965.

Adding to 450330034 its reverse (430033054), we get a palindrome (880363088).

The spelling of 450330034 in words is "four hundred fifty million, three hundred thirty thousand, thirty-four".