461023834200 has 48 divisors (see below), whose sum is σ = 1429173887880. Its totient is φ = 122939688960.

The previous prime is 461023834171. The next prime is 461023834301. The reversal of 461023834200 is 2438320164.

461023834200 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×461023834200³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 384185929 + ... + 384187128.

Almost surely, 2^461023834200 is an apocalyptic number.

461023834200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461023834200 is an abundant number, since it is smaller than the sum of its proper divisors (968150053680).

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

461023834200 is a wasteful number, since it uses less digits than its factorization.

461023834200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768373076 (or 768373067 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 461023834200 in words is "four hundred sixty-one billion, twenty-three million, eight hundred thirty-four thousand, two hundred".