430142200 has 48 divisors (see below), whose sum is σ = 1002592080. Its totient is φ = 171624960.

The previous prime is 430142189. The next prime is 430142213. The reversal of 430142200 is 2241034.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84117 + ... + 89083.

It is an arithmetic number, because the mean of its divisors is an integer number (20887335).

Almost surely, 2^430142200 is an apocalyptic number.

430142200 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 430142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501296040).

430142200 is an abundant number, since it is smaller than the sum of its proper divisors (572449880).

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

430142200 is a wasteful number, since it uses less digits than its factorization.

430142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5416 (or 5407 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 430142200 is about 20739.8698163706. The cubic root of 430142200 is about 754.8674240556.

Adding to 430142200 its reverse (2241034), we get a palindrome (432383234).

The spelling of 430142200 in words is "four hundred thirty million, one hundred forty-two thousand, two hundred".