430222080 has 144 divisors (see below), whose sum is σ = 1383379200. Its totient is φ = 113946624.

The previous prime is 430222057. The next prime is 430222087. The reversal of 430222080 is 80222034.

It is not an unprimeable number, because it can be changed into a prime (430222087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763879 + ... + 764441.

It is an arithmetic number, because the mean of its divisors is an integer number (9606800).

Almost surely, 2^430222080 is an apocalyptic number.

430222080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691689600).

430222080 is an abundant number, since it is smaller than the sum of its proper divisors (953157120).

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

430222080 is a wasteful number, since it uses less digits than its factorization.

430222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 430222080 is about 20741.7954864086. The cubic root of 430222080 is about 754.9141489740.

The spelling of 430222080 in words is "four hundred thirty million, two hundred twenty-two thousand, eighty".