46056 has 32 divisors (see below), whose sum is σ = 122400. Its totient is φ = 14400.

The previous prime is 46051. The next prime is 46061. The reversal of 46056 is 65064.

46056 = T₂₉ + T₃₀ + ... + T₆₆.

46056 is a nontrivial binomial coefficient, being equal to C(304, 2).

It is an interprime number because it is at equal distance from previous prime (46051) and next prime (46061).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 46056.

It is not an unprimeable number, because it can be changed into a prime (46051) 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, 406 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (3825).

2⁴⁶⁰⁵⁶ is an apocalyptic number.

46056 is the 303-rd triangular number and also the 152-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61200).

46056 is an abundant number, since it is smaller than the sum of its proper divisors (76344).

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

46056 is a wasteful number, since it uses less digits than its factorization.

46056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 46056 is about 214.6066168598. The cubic root of 46056 is about 35.8450127183.

The spelling of 46056 in words is "forty-six thousand, fifty-six", and thus it is an eban number.