461080164 has 48 divisors (see below), whose sum is σ = 1125532800. Its totient is φ = 146716416.

The previous prime is 461080157. The next prime is 461080183.

461080164 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23529 + ... + 38415.

It is an arithmetic number, because the mean of its divisors is an integer number (23448600).

Almost surely, 2^461080164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461080164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562766400).

461080164 is an abundant number, since it is smaller than the sum of its proper divisors (664452636).

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

461080164 is a wasteful number, since it uses less digits than its factorization.

461080164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15012 (or 15010 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 461080164 is about 21472.7772772876. Note that the first 3 decimals coincide. The cubic root of 461080164 is about 772.5480126420.

The spelling of 461080164 in words is "four hundred sixty-one million, eighty thousand, one hundred sixty-four".