461171589200 has 120 divisors (see below), whose sum is σ = 1268295817920. Its totient is φ = 157859942400.

The previous prime is 461171589191. The next prime is 461171589251. The reversal of 461171589200 is 2985171164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1600160 + ... + 1866240.

It is an arithmetic number, because the mean of its divisors is an integer number (10569131816).

Almost surely, 2^461171589200 is an apocalyptic number.

461171589200 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 461171589200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634147908960).

461171589200 is an abundant number, since it is smaller than the sum of its proper divisors (807124228720).

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

461171589200 is a wasteful number, since it uses less digits than its factorization.

461171589200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266725 (or 266714 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The spelling of 461171589200 in words is "four hundred sixty-one billion, one hundred seventy-one million, five hundred eighty-nine thousand, two hundred".