430245200 has 240 divisors, whose sum is σ = 1315570560. Its totient is φ = 131328000.

The previous prime is 430245173. The next prime is 430245203. The reversal of 430245200 is 2542034.

It is a super-2 number, since 2×430245200² = 370221864246080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430245203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1878686 + ... + 1878914.

It is an arithmetic number, because the mean of its divisors is an integer number (5481544).

Almost surely, 2^430245200 is an apocalyptic number.

430245200 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 430245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657785280).

430245200 is an abundant number, since it is smaller than the sum of its proper divisors (885325360).

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

430245200 is a wasteful number, since it uses less digits than its factorization.

430245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 430245200 is about 20742.3528077217. The cubic root of 430245200 is about 754.9276716818.

Adding to 430245200 its reverse (2542034), we get a palindrome (432787234).

The spelling of 430245200 in words is "four hundred thirty million, two hundred forty-five thousand, two hundred".