430442000 has 80 divisors (see below), whose sum is σ = 1045407792. Its totient is φ = 171417600.

The previous prime is 430441943. The next prime is 430442009. The reversal of 430442000 is 244034.

It can be written as a sum of positive squares in 8 ways, for example, as 22886656 + 407555344 = 4784^2 + 20188^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 430442000.

It is not an unprimeable number, because it can be changed into a prime (430442009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745712 + ... + 746288.

Almost surely, 2^430442000 is an apocalyptic number.

430442000 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 430442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522703896).

430442000 is an abundant number, since it is smaller than the sum of its proper divisors (614965792).

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

430442000 is a wasteful number, since it uses less digits than its factorization.

430442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 430442000 is about 20747.0961823577. The cubic root of 430442000 is about 755.0427588607.

Adding to 430442000 its reverse (244034), we get a palindrome (430686034).

The spelling of 430442000 in words is "four hundred thirty million, four hundred forty-two thousand".