461200410 has 96 divisors (see below), whose sum is σ = 1315267200. Its totient is φ = 111196800.

The previous prime is 461200391. The next prime is 461200417. The reversal of 461200410 is 14002164.

461200410 is a `hidden beast` number, since 461 + 200 + 4 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (461200417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195840 + ... + 198180.

It is an arithmetic number, because the mean of its divisors is an integer number (13700700).

Almost surely, 2^461200410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461200410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657633600).

461200410 is an abundant number, since it is smaller than the sum of its proper divisors (854066790).

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

461200410 is a wasteful number, since it uses less digits than its factorization.

461200410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 461200410 is about 21475.5770586031. The cubic root of 461200410 is about 772.6151649084.

Adding to 461200410 its reverse (14002164), we get a palindrome (475202574).

The spelling of 461200410 in words is "four hundred sixty-one million, two hundred thousand, four hundred ten".