412302320430 has 384 divisors, whose sum is σ = 1354431891456. Its totient is φ = 78959462400.

The previous prime is 412302320401. The next prime is 412302320447. The reversal of 412302320430 is 34023203214.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 412302320430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 191500234 + ... + 191502386.

It is an arithmetic number, because the mean of its divisors is an integer number (3527166384).

Almost surely, 2^412302320430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412302320430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677215945728).

412302320430 is an abundant number, since it is smaller than the sum of its proper divisors (942129571026).

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

412302320430 is a wasteful number, since it uses less digits than its factorization.

412302320430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 412302320430 its reverse (34023203214), we get a palindrome (446325523644).

The spelling of 412302320430 in words is "four hundred twelve billion, three hundred two million, three hundred twenty thousand, four hundred thirty".