46496 has 12 divisors (see below), whose sum is σ = 91602. Its totient is φ = 23232.

The previous prime is 46489. The next prime is 46499. The reversal of 46496 is 69464.

It can be written as a sum of positive squares in only one way, i.e., 26896 + 19600 = 164^2 + 140^2 .

It is not an unprimeable number, because it can be changed into a prime (46499) by changing a digit.

46496 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, 695 + ... + 758.

2⁴⁶⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

46496 is a deficient number, since it is larger than the sum of its proper divisors (45106).

46496 is a wasteful number, since it uses less digits than its factorization.

46496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1455 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 46496 is about 215.6293115511. The cubic root of 46496 is about 35.9588006049.

It can be divided in two parts, 464 and 96, that multiplied together give a palindrome (44544).

The spelling of 46496 in words is "forty-six thousand, four hundred ninety-six".