461296 has 20 divisors (see below), whose sum is σ = 975384. Its totient is φ = 209600.

The previous prime is 461273. The next prime is 461297. The reversal of 461296 is 692164.

461296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461297) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1135 + ... + 1486.

2⁴⁶¹²⁹⁶ is an apocalyptic number.

It is an amenable number.

461296 is an abundant number, since it is smaller than the sum of its proper divisors (514088).

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

461296 is a wasteful number, since it uses less digits than its factorization.

461296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2634 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 461296 is about 679.1877501840. The cubic root of 461296 is about 77.2668539523.

It can be divided in two parts, 461 and 296, that added together give a palindrome (757).

The spelling of 461296 in words is "four hundred sixty-one thousand, two hundred ninety-six".