461491200000 has 504 divisors, whose sum is σ = 1667119531896. Its totient is φ = 123002880000.

The previous prime is 461491199999. The next prime is 461491200017. The reversal of 461491200000 is 2194164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230398999 + ... + 230401001.

It is an arithmetic number, because the mean of its divisors is an integer number (3307776849).

Almost surely, 2^461491200000 is an apocalyptic number.

461491200000 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 461491200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833559765948).

461491200000 is an abundant number, since it is smaller than the sum of its proper divisors (1205628331896).

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

461491200000 is an frugal number, since it uses more digits than its factorization.

461491200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 461491200000 its reverse (2194164), we get a palindrome (461493394164).

The spelling of 461491200000 in words is "four hundred sixty-one billion, four hundred ninety-one million, two hundred thousand".