430430100 has 72 divisors (see below), whose sum is σ = 1256898720. Its totient is φ = 113719680.

The previous prime is 430430087. The next prime is 430430107. The reversal of 430430100 is 1034034.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 430430100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430430107) 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 23 ways as a sum of consecutive naturals, for example, 26119 + ... + 39281.

Almost surely, 2^430430100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628449360).

430430100 is an abundant number, since it is smaller than the sum of its proper divisors (826468620).

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

430430100 is a wasteful number, since it uses less digits than its factorization.

430430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13289 (or 13282 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 430430100 is about 20746.8093932537. The cubic root of 430430100 is about 755.0358008256.

Adding to 430430100 its reverse (1034034), we get a palindrome (431464134).

The spelling of 430430100 in words is "four hundred thirty million, four hundred thirty thousand, one hundred".