430033122 has 48 divisors (see below), whose sum is σ = 995674680. Its totient is φ = 133664256.

The previous prime is 430033117. The next prime is 430033151. The reversal of 430033122 is 221330034.

It can be written as a sum of positive squares in 4 ways, for example, as 426381201 + 3651921 = 20649^2 + 1911^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 430033095 and 430033104.

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 23 ways as a sum of consecutive naturals, for example, 26908 + ... + 39800.

Almost surely, 2^430033122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430033122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497837340).

430033122 is an abundant number, since it is smaller than the sum of its proper divisors (565641558).

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

430033122 is a wasteful number, since it uses less digits than its factorization.

430033122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13027 (or 13024 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 430033122 is about 20737.2399802867. The cubic root of 430033122 is about 754.8036107477.

Adding to 430033122 its reverse (221330034), we get a palindrome (651363156).

The spelling of 430033122 in words is "four hundred thirty million, thirty-three thousand, one hundred twenty-two".