461168 has 40 divisors (see below), whose sum is σ = 989520. Its totient is φ = 207360.

The previous prime is 461147. The next prime is 461171. The reversal of 461168 is 861164.

It is a congruent number.

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, 11228 + ... + 11268.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

2⁴⁶¹¹⁶⁸ 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 461168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494760).

461168 is an abundant number, since it is smaller than the sum of its proper divisors (528352).

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

461168 is a wasteful number, since it uses less digits than its factorization.

461168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 461168 is about 679.0935134427. The cubic root of 461168 is about 77.2597066454.

The spelling of 461168 in words is "four hundred sixty-one thousand, one hundred sixty-eight".