473937 has 8 divisors (see below), whose sum is σ = 635520. Its totient is φ = 314160.

The previous prime is 473929. The next prime is 473939. The reversal of 473937 is 739374.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 473937 - 2³ = 473929 is a prime.

It is a d-powerful number, because it can be written as 4⁴ + 7⁶ + 9⁵ + 3⁷ + 3¹¹ + 7⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 473898 and 473907.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 473937.

It is not an unprimeable number, because it can be changed into a prime (473939) 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 7 ways as a sum of consecutive naturals, for example, 387 + ... + 1047.

It is an arithmetic number, because the mean of its divisors is an integer number (79440).

2⁴⁷³⁹³⁷ is an apocalyptic number.

It is an amenable number.

473937 is a deficient number, since it is larger than the sum of its proper divisors (161583).

473937 is a wasteful number, since it uses less digits than its factorization.

473937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903.

The product of its digits is 15876, while the sum is 33.

The square root of 473937 is about 688.4308244116. The cubic root of 473937 is about 77.9662904962.

The spelling of 473937 in words is "four hundred seventy-three thousand, nine hundred thirty-seven".