461983884450 has 288 divisors, whose sum is σ = 1319186995200. Its totient is φ = 106060176000.

The previous prime is 461983884433. The next prime is 461983884457. The reversal of 461983884450 is 54488389164.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (461983884457) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74522451 + ... + 74528649.

It is an arithmetic number, because the mean of its divisors is an integer number (4580510400).

Almost surely, 2^461983884450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461983884450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659593497600).

461983884450 is an abundant number, since it is smaller than the sum of its proper divisors (857203110750).

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

461983884450 is a wasteful number, since it uses less digits than its factorization.

461983884450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6334 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 461983884450 in words is "four hundred sixty-one billion, nine hundred eighty-three million, eight hundred eighty-four thousand, four hundred fifty".