473759 has 8 divisors (see below), whose sum is σ = 556752. Its totient is φ = 397440.

The previous prime is 473743. The next prime is 473761. The reversal of 473759 is 957374.

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

It is a cyclic number.

It is not a de Polignac number, because 473759 - 2⁴ = 473743 is a prime.

It is a d-powerful number, because it can be written as 4⁹ + 7⁵ + 7⁵ + 3¹¹ + 5³ + 9³ .

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 473759.

It is not an unprimeable number, because it can be changed into a prime (473719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1514 + ... + 1799.

It is an arithmetic number, because the mean of its divisors is an integer number (69594).

2⁴⁷³⁷⁵⁹ is an apocalyptic number.

473759 is a deficient number, since it is larger than the sum of its proper divisors (82993).

473759 is a wasteful number, since it uses less digits than its factorization.

473759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337.

The product of its digits is 26460, while the sum is 35.

The square root of 473759 is about 688.3015327602. The cubic root of 473759 is about 77.9565284832.

The spelling of 473759 in words is "four hundred seventy-three thousand, seven hundred fifty-nine".