47456 has 12 divisors (see below), whose sum is σ = 93492. Its totient is φ = 23712.

The previous prime is 47441. The next prime is 47459. The reversal of 47456 is 65474.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 12.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47456.

It is not an unprimeable number, because it can be changed into a prime (47459) by changing a digit.

47456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 710 + ... + 773.

It is an arithmetic number, because the mean of its divisors is an integer number (7791).

2⁴⁷⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

47456 is a deficient number, since it is larger than the sum of its proper divisors (46036).

47456 is a wasteful number, since it uses less digits than its factorization.

47456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1485 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 47456 is about 217.8439808670. The cubic root of 47456 is about 36.2045963456.

The spelling of 47456 in words is "forty-seven thousand, four hundred fifty-six".