468206420430 has 192 divisors, whose sum is σ = 1328477407488. Its totient is φ = 105283906560.

The previous prime is 468206420411. The next prime is 468206420441. The reversal of 468206420430 is 34024602864.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 29396449 + ... + 29412371.

It is an arithmetic number, because the mean of its divisors is an integer number (6919153164).

Almost surely, 2^468206420430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468206420430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664238703744).

468206420430 is an abundant number, since it is smaller than the sum of its proper divisors (860270987058).

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

468206420430 is a wasteful number, since it uses less digits than its factorization.

468206420430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16271 (or 16264 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 468206420430 in words is "four hundred sixty-eight billion, two hundred six million, four hundred twenty thousand, four hundred thirty".