473968 has 20 divisors (see below), whose sum is σ = 1002168. Its totient is φ = 215360.

The previous prime is 473953. The next prime is 473971. The reversal of 473968 is 869374.

It is a congruent number.

It is an unprimeable number.

473968 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1171 + ... + 1522.

2⁴⁷³⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

473968 is an abundant number, since it is smaller than the sum of its proper divisors (528200).

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

473968 is a wasteful number, since it uses less digits than its factorization.

473968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2706 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 473968 is about 688.4533390143. The cubic root of 473968 is about 77.9679903722.

It can be divided in two parts, 473 and 968, that added together give a palindrome (1441).

The spelling of 473968 in words is "four hundred seventy-three thousand, nine hundred sixty-eight".