430424000 has 112 divisors (see below), whose sum is σ = 1075553856. Its totient is φ = 170624000.

The previous prime is 430423999. The next prime is 430424009. The reversal of 430424000 is 424034.

It is a self number, because there is not a number n which added to its sum of digits gives 430424000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430424009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1383845 + ... + 1384155.

Almost surely, 2^430424000 is an apocalyptic number.

430424000 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 430424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537776928).

430424000 is an abundant number, since it is smaller than the sum of its proper divisors (645129856).

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

430424000 is a wasteful number, since it uses less digits than its factorization.

430424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 491 counting only the distinct ones).

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

The square root of 430424000 is about 20746.6623821761. The cubic root of 430424000 is about 755.0322340520.

Adding to 430424000 its reverse (424034), we get a palindrome (430848034).

The spelling of 430424000 in words is "four hundred thirty million, four hundred twenty-four thousand".