461256 has 16 divisors (see below), whose sum is σ = 1153200. Its totient is φ = 153744.

The previous prime is 461239. The next prime is 461257. The reversal of 461256 is 652164.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 19219 = 461256 / (4 + 6 + 1 + 2 + 5 + 6).

It is not an unprimeable number, because it can be changed into a prime (461257) 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, 9586 + ... + 9633.

It is an arithmetic number, because the mean of its divisors is an integer number (72075).

2⁴⁶¹²⁵⁶ is an apocalyptic number.

It is an amenable number.

461256 is an abundant number, since it is smaller than the sum of its proper divisors (691944).

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

461256 is a wasteful number, since it uses less digits than its factorization.

461256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19228 (or 19224 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 461256 is about 679.1583026070. The cubic root of 461256 is about 77.2646205609.

Adding to 461256 its sum of digits (24), we get a triangular number (461280 = T₉₆₀).

It can be divided in two parts, 461 and 256, that added together give a palindrome (717).

The spelling of 461256 in words is "four hundred sixty-one thousand, two hundred fifty-six".