461664405 has 18 divisors (see below), whose sum is σ = 800468214. Its totient is φ = 246144144.

The previous prime is 461664391. The next prime is 461664407. The reversal of 461664405 is 504466164.

461664405 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 644 + 0 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 369331524 + 92332881 = 19218^2 + 9609^2 .

It is not a de Polignac number, because 461664405 - 2⁶ = 461664341 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 461664405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461664407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 142534 + ... + 145736.

Almost surely, 2^461664405 is an apocalyptic number.

461664405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461664405 is a deficient number, since it is larger than the sum of its proper divisors (338803809).

461664405 is an frugal number, since it uses more digits than its factorization.

461664405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 461664405 is about 21486.3771957955. The cubic root of 461664405 is about 772.8741769794.

The spelling of 461664405 in words is "four hundred sixty-one million, six hundred sixty-four thousand, four hundred five".