480593 has 8 divisors (see below), whose sum is σ = 510720. Its totient is φ = 451440.

The previous prime is 480587. The next prime is 480647. The reversal of 480593 is 395084.

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 480593 - 2¹⁰ = 479569 is a prime.

It is a super-3 number, since 3×480593³ = 333007164549263571, which contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (480503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 938 + ... + 1356.

It is an arithmetic number, because the mean of its divisors is an integer number (63840).

2⁴⁸⁰⁵⁹³ is an apocalyptic number.

It is an amenable number.

480593 is a deficient number, since it is larger than the sum of its proper divisors (30127).

480593 is a wasteful number, since it uses less digits than its factorization.

480593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 480593 is about 693.2481518187. The cubic root of 480593 is about 78.3295828394.

The spelling of 480593 in words is "four hundred eighty thousand, five hundred ninety-three".