461656 has 32 divisors (see below), whose sum is σ = 977760. Its totient is φ = 202752.

The previous prime is 461653. The next prime is 461677. The reversal of 461656 is 656164.

461656 = T₁₁₄ + T₁₁₅ + ... + T₁₆₁.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2296 + ... + 2488.

It is an arithmetic number, because the mean of its divisors is an integer number (30555).

2⁴⁶¹⁶⁵⁶ is an apocalyptic number.

461656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488880).

461656 is an abundant number, since it is smaller than the sum of its proper divisors (516104).

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

461656 is a wasteful number, since it uses less digits than its factorization.

461656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 461656 is about 679.4527209453. The cubic root of 461656 is about 77.2869486670.

It can be divided in two parts, 46 and 1656, that multiplied together give a square (76176 = 276²).

The spelling of 461656 in words is "four hundred sixty-one thousand, six hundred fifty-six".