475893 has 36 divisors (see below), whose sum is σ = 829920. Its totient is φ = 261360.

The previous prime is 475889. The next prime is 475897. The reversal of 475893 is 398574.

It is an interprime number because it is at equal distance from previous prime (475889) and next prime (475897).

It is not a de Polignac number, because 475893 - 2² = 475889 is a prime.

It is a super-3 number, since 3×475893³ = 323332384355840871, which contains 333 as substring.

Its product of digits (30240) is a multiple of the sum of its prime divisors (56).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475897) 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 35 ways as a sum of consecutive naturals, for example, 20680 + ... + 20702.

475893 is a Friedman number, since it can be written as 8349*57, using all its digits and the basic arithmetic operations.

2⁴⁷⁵⁸⁹³ is an apocalyptic number.

It is an amenable number.

475893 is a deficient number, since it is larger than the sum of its proper divisors (354027).

475893 is a wasteful number, since it uses less digits than its factorization.

475893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 56 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 475893 is about 689.8499836921. The cubic root of 475893 is about 78.0734023031.

It can be divided in two parts, 4758 and 93, that added together give a triangular number (4851 = T₉₈).

The spelling of 475893 in words is "four hundred seventy-five thousand, eight hundred ninety-three".