461010904200 has 1728 divisors, whose sum is σ = 2098814328000. Its totient is φ = 89413632000.

The previous prime is 461010904183. The next prime is 461010904213. The reversal of 461010904200 is 2409010164.

461010904200 is a `hidden beast` number, since 4 + 610 + 1 + 0 + 9 + 0 + 42 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1640608060 + ... + 1640608340.

It is an arithmetic number, because the mean of its divisors is an integer number (1214591625).

Almost surely, 2^461010904200 is an apocalyptic number.

461010904200 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 461010904200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049407164000).

461010904200 is an abundant number, since it is smaller than the sum of its proper divisors (1637803423800).

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

461010904200 is a wasteful number, since it uses less digits than its factorization.

461010904200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 417 counting only the distinct ones).

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

Adding to 461010904200 its reverse (2409010164), we get a palindrome (463419914364).

The spelling of 461010904200 in words is "four hundred sixty-one billion, ten million, nine hundred four thousand, two hundred".