430221000 has 128 divisors (see below), whose sum is σ = 1464428160. Its totient is φ = 104288000.

The previous prime is 430220993. The next prime is 430221031. The reversal of 430221000 is 122034.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 26482 + ... + 39518.

It is an arithmetic number, because the mean of its divisors is an integer number (11440845).

Almost surely, 2^430221000 is an apocalyptic number.

430221000 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 430221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732214080).

430221000 is an abundant number, since it is smaller than the sum of its proper divisors (1034207160).

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

430221000 is a wasteful number, since it uses less digits than its factorization.

430221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13072 (or 13058 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 430221000 is about 20741.7694520019. The cubic root of 430221000 is about 754.9135172786.

Adding to 430221000 its reverse (122034), we get a palindrome (430343034).

The spelling of 430221000 in words is "four hundred thirty million, two hundred twenty-one thousand".