461164 has 24 divisors (see below), whose sum is σ = 903168. Its totient is φ = 204240.

The previous prime is 461147. The next prime is 461171.

461164 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1957 + ... + 2179.

It is an arithmetic number, because the mean of its divisors is an integer number (37632).

2⁴⁶¹¹⁶⁴ is an apocalyptic number.

461164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461164 is a deficient number, since it is larger than the sum of its proper divisors (442004).

461164 is a wasteful number, since it uses less digits than its factorization.

461164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 461164 is about 679.0905683339. The cubic root of 461164 is about 77.2594832707.

It can be divided in two parts, 461 and 164, that added together give a 4-th power (625 = 5⁴).

The spelling of 461164 in words is "four hundred sixty-one thousand, one hundred sixty-four".