46956 has 48 divisors (see below), whose sum is σ = 137984. Its totient is φ = 12096.

The previous prime is 46933. The next prime is 46957. The reversal of 46956 is 65964.

46956 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (46957) by changing a digit.

46956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071 + ... + 1113.

2⁴⁶⁹⁵⁶ 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 46956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68992).

46956 is an abundant number, since it is smaller than the sum of its proper divisors (91028).

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

46956 is a wasteful number, since it uses less digits than its factorization.

46956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 68 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 46956 is about 216.6933316925. The cubic root of 46956 is about 36.0769957004.

It can be divided in two parts, 469 and 56, that added together give a palindrome (525).

The spelling of 46956 in words is "forty-six thousand, nine hundred fifty-six".