461434510200 has 192 divisors, whose sum is σ = 1488224747520. Its totient is φ = 118141632000.

The previous prime is 461434510181. The next prime is 461434510213. The reversal of 461434510200 is 2015434164.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2264530 + ... + 2459870.

It is an arithmetic number, because the mean of its divisors is an integer number (7751170560).

Almost surely, 2^461434510200 is an apocalyptic number.

461434510200 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 461434510200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744112373760).

461434510200 is an abundant number, since it is smaller than the sum of its proper divisors (1026790237320).

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

461434510200 is a wasteful number, since it uses less digits than its factorization.

461434510200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195518 (or 195509 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 461434510200 its reverse (2015434164), we get a palindrome (463449944364).

The spelling of 461434510200 in words is "four hundred sixty-one billion, four hundred thirty-four million, five hundred ten thousand, two hundred".