461872588800 has 864 divisors, whose sum is σ = 1795652258400. Its totient is φ = 104416542720.

The previous prime is 461872588741. The next prime is 461872588823. The reversal of 461872588800 is 8885278164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 820377319 + ... + 820377881.

It is an arithmetic number, because the mean of its divisors is an integer number (2078301225).

Almost surely, 2^461872588800 is an apocalyptic number.

461872588800 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 461872588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897826129200).

461872588800 is an abundant number, since it is smaller than the sum of its proper divisors (1333779669600).

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

461872588800 is a wasteful number, since it uses less digits than its factorization.

461872588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 57.

The spelling of 461872588800 in words is "four hundred sixty-one billion, eight hundred seventy-two million, five hundred eighty-eight thousand, eight hundred".