480819 has 8 divisors (see below), whose sum is σ = 649152. Its totient is φ = 316520.

The previous prime is 480803. The next prime is 480827. The reversal of 480819 is 918084.

It is a happy number.

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 480819 - 2⁴ = 480803 is a prime.

It is a super-3 number, since 3×480819³ = 333477177735579777, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (480839) 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, 717 + ... + 1214.

It is an arithmetic number, because the mean of its divisors is an integer number (81144).

2⁴⁸⁰⁸¹⁹ is an apocalyptic number.

480819 is a deficient number, since it is larger than the sum of its proper divisors (168333).

480819 is a wasteful number, since it uses less digits than its factorization.

480819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 480819 is about 693.4111334555. The cubic root of 480819 is about 78.3418591394.

The spelling of 480819 in words is "four hundred eighty thousand, eight hundred nineteen".