461105600 has 42 divisors (see below), whose sum is σ = 1134611904. Its totient is φ = 184441600.

The previous prime is 461105599. The next prime is 461105609. The reversal of 461105600 is 6501164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461105609) 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 5 ways as a sum of consecutive naturals, for example, 142496 + ... + 145695.

Almost surely, 2^461105600 is an apocalyptic number.

461105600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461105600 is an abundant number, since it is smaller than the sum of its proper divisors (673506304).

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

461105600 is a wasteful number, since it uses less digits than its factorization.

461105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288213 (or 288198 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 461105600 is about 21473.3695539382. The cubic root of 461105600 is about 772.5622185375.

Adding to 461105600 its reverse (6501164), we get a palindrome (467606764).

The spelling of 461105600 in words is "four hundred sixty-one million, one hundred five thousand, six hundred".