461983884426 has 160 divisors (see below), whose sum is σ = 1063594013328. Its totient is φ = 149836677120.

The previous prime is 461983884371. The next prime is 461983884433. The reversal of 461983884426 is 624488389164.

461983884426 is a `hidden beast` number, since 4 + 6 + 198 + 388 + 44 + 26 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 76286992401 + 385696892025 = 276201^2 + 621045^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 597650176 + ... + 597650948.

Almost surely, 2^461983884426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461983884426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531797006664).

461983884426 is an abundant number, since it is smaller than the sum of its proper divisors (601610128902).

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

461983884426 is a wasteful number, since it uses less digits than its factorization.

461983884426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1469 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 461983884426 in words is "four hundred sixty-one billion, nine hundred eighty-three million, eight hundred eighty-four thousand, four hundred twenty-six".