480193 has 8 divisors (see below), whose sum is σ = 553280. Its totient is φ = 408240.

The previous prime is 480169. The next prime is 480203. The reversal of 480193 is 391084.

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

It is not a de Polignac number, because 480193 - 2¹⁷ = 349121 is a prime.

480193 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (480113) 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, 1078 + ... + 1456.

It is an arithmetic number, because the mean of its divisors is an integer number (69160).

2⁴⁸⁰¹⁹³ is an apocalyptic number.

It is an amenable number.

480193 is a deficient number, since it is larger than the sum of its proper divisors (73087).

480193 is a wasteful number, since it uses less digits than its factorization.

480193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 480193 is about 692.9595947817. The cubic root of 480193 is about 78.3078454374.

The spelling of 480193 in words is "four hundred eighty thousand, one hundred ninety-three".