473993 has 12 divisors (see below), whose sum is σ = 544068. Its totient is φ = 410400.

The previous prime is 473987. The next prime is 473999. The reversal of 473993 is 399374.

It is an interprime number because it is at equal distance from previous prime (473987) and next prime (473999).

It can be written as a sum of positive squares in 2 ways, for example, as 283024 + 190969 = 532^2 + 437^2 .

It is not a de Polignac number, because 473993 - 2⁶ = 473929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (473999) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4643 + ... + 4743.

It is an arithmetic number, because the mean of its divisors is an integer number (45339).

2⁴⁷³⁹⁹³ is an apocalyptic number.

It is an amenable number.

473993 is a deficient number, since it is larger than the sum of its proper divisors (70075).

473993 is a wasteful number, since it uses less digits than its factorization.

473993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its digits is 20412, while the sum is 35.

The square root of 473993 is about 688.4714954158. The cubic root of 473993 is about 77.9693611859.

The spelling of 473993 in words is "four hundred seventy-three thousand, nine hundred ninety-three".