461346368340 has 768 divisors, whose sum is σ = 1613103206400. Its totient is φ = 96983040000.

The previous prime is 461346368323. The next prime is 461346368347. The reversal of 461346368340 is 43863643164.

It is a self number, because there is not a number n which added to its sum of digits gives 461346368340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461346368347) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1838033215 + ... + 1838033465.

It is an arithmetic number, because the mean of its divisors is an integer number (2100394800).

Almost surely, 2^461346368340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461346368340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806551603200).

461346368340 is an abundant number, since it is smaller than the sum of its proper divisors (1151756838060).

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

461346368340 is a wasteful number, since it uses less digits than its factorization.

461346368340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 461346368340 in words is "four hundred sixty-one billion, three hundred forty-six million, three hundred sixty-eight thousand, three hundred forty".