461136 has 40 divisors (see below), whose sum is σ = 1284640. Its totient is φ = 141696.

The previous prime is 461119. The next prime is 461143. The reversal of 461136 is 631164.

461136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

461136 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 7 ways as a sum of consecutive naturals, for example, 255 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (32116).

2⁴⁶¹¹³⁶ 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 461136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642320).

461136 is an abundant number, since it is smaller than the sum of its proper divisors (823504).

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

461136 is a wasteful number, since it uses less digits than its factorization.

461136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 757 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 461136 is about 679.0699522141. The cubic root of 461136 is about 77.2579196120.

The spelling of 461136 in words is "four hundred sixty-one thousand, one hundred thirty-six".