461476705350 has 192 divisors, whose sum is σ = 1279284192000. Its totient is φ = 109405532160.

The previous prime is 461476705303. The next prime is 461476705373. The reversal of 461476705350 is 53507674164.

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 461476705350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16798426 + ... + 16825874.

It is an arithmetic number, because the mean of its divisors is an integer number (6662938500).

Almost surely, 2^461476705350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461476705350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639642096000).

461476705350 is an abundant number, since it is smaller than the sum of its proper divisors (817807486650).

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

461476705350 is a wasteful number, since it uses less digits than its factorization.

461476705350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27847 (or 27842 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 461476705350 in words is "four hundred sixty-one billion, four hundred seventy-six million, seven hundred five thousand, three hundred fifty".