461616164 has 48 divisors (see below), whose sum is σ = 921424896. Its totient is φ = 201062400.

The previous prime is 461616161. The next prime is 461616179.

461616164 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (461616161) 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 15 ways as a sum of consecutive naturals, for example, 43724 + ... + 53244.

It is an arithmetic number, because the mean of its divisors is an integer number (19196352).

Almost surely, 2^461616164 is an apocalyptic number.

It is an amenable number.

461616164 is a deficient number, since it is larger than the sum of its proper divisors (459808732).

461616164 is a wasteful number, since it uses less digits than its factorization.

461616164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9596 (or 9594 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 461616164 is about 21485.2545714497. The cubic root of 461616164 is about 772.8472558930.

It can be divided in two parts, 46161 and 6164, that added together give a palindrome (52325).

The spelling of 461616164 in words is "four hundred sixty-one million, six hundred sixteen thousand, one hundred sixty-four".