461508794880 has 480 divisors, whose sum is σ = 1742497080192. Its totient is φ = 102073466880.

The previous prime is 461508794863. The next prime is 461508794891. The reversal of 461508794880 is 88497805164.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51658894 + ... + 51667826.

Almost surely, 2^461508794880 is an apocalyptic number.

461508794880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461508794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871248540096).

461508794880 is an abundant number, since it is smaller than the sum of its proper divisors (1280988285312).

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

461508794880 is an equidigital number, since it uses as much as digits as its factorization.

461508794880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9028 (or 8981 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 461508794880 in words is "four hundred sixty-one billion, five hundred eight million, seven hundred ninety-four thousand, eight hundred eighty".