461188 has 36 divisors (see below), whose sum is σ = 1016652. Its totient is φ = 181440.

The previous prime is 461183. The next prime is 461191. The reversal of 461188 is 881164.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 432964 = 168^2 + 658^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (461183) by changing a digit.

461188 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2458 + ... + 2638.

2⁴⁶¹¹⁸⁸ 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 461188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508326).

461188 is an abundant number, since it is smaller than the sum of its proper divisors (555464).

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

461188 is a wasteful number, since it uses less digits than its factorization.

461188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The square root of 461188 is about 679.1082387956. The cubic root of 461188 is about 77.2608234992.

461188 divided by its sum of digits (28) gives a triangular number (16471 = T₁₈₁).

It can be divided in two parts, 461 and 188, that multiplied together give a palindrome (86668).

The spelling of 461188 in words is "four hundred sixty-one thousand, one hundred eighty-eight".