430240213200 has 240 divisors, whose sum is σ = 1576563645056. Its totient is φ = 98248550400.

The previous prime is 430240213199. The next prime is 430240213201. The reversal of 430240213200 is 2312042034.

It is an interprime number because it is at equal distance from previous prime (430240213199) and next prime (430240213201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430240213201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9157770 + ... + 9204630.

Almost surely, 2^430240213200 is an apocalyptic number.

430240213200 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 430240213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788281822528).

430240213200 is an abundant number, since it is smaller than the sum of its proper divisors (1146323431856).

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

430240213200 is a wasteful number, since it uses less digits than its factorization.

430240213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47982 (or 47971 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 430240213200 its reverse (2312042034), we get a palindrome (432552255234).

The spelling of 430240213200 in words is "four hundred thirty billion, two hundred forty million, two hundred thirteen thousand, two hundred".