461703271316430 has 256 divisors, whose sum is σ = 1379647875142656. Its totient is φ = 97151688990720.

The previous prime is 461703271316359. The next prime is 461703271316471. The reversal of 461703271316430 is 34613172307164.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 461703271316430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76816437 + ... + 82608543.

It is an arithmetic number, because the mean of its divisors is an integer number (5389249512276).

Almost surely, 2^{461703271316430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461703271316430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689823937571328).

461703271316430 is an abundant number, since it is smaller than the sum of its proper divisors (917944603826226).

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

461703271316430 is a wasteful number, since it uses less digits than its factorization.

461703271316430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5793251.

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 461703271316430 in words is "four hundred sixty-one trillion, seven hundred three billion, two hundred seventy-one million, three hundred sixteen thousand, four hundred thirty".