461101164 has 12 divisors (see below), whose sum is σ = 1075902744. Its totient is φ = 153700384.

The previous prime is 461101163. The next prime is 461101187.

461101164 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×461101164² = 425228566884309792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (461101163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19212537 + ... + 19212560.

It is an arithmetic number, because the mean of its divisors is an integer number (89658562).

Almost surely, 2^461101164 is an apocalyptic number.

It is an amenable number.

461101164 is an abundant number, since it is smaller than the sum of its proper divisors (614801580).

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

461101164 is a wasteful number, since it uses less digits than its factorization.

461101164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38425104 (or 38425102 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 461101164 is about 21473.2662629606. The cubic root of 461101164 is about 772.5597410884.

It can be divided in two parts, 46110 and 1164, that added together give a palindrome (47274).

The spelling of 461101164 in words is "four hundred sixty-one million, one hundred one thousand, one hundred sixty-four".