480519 has 24 divisors (see below), whose sum is σ = 787920. Its totient is φ = 287712.

The previous prime is 480517. The next prime is 480521. The reversal of 480519 is 915084.

It is an interprime number because it is at equal distance from previous prime (480517) and next prime (480521).

It is not a de Polignac number, because 480519 - 2¹ = 480517 is a prime.

It is a super-2 number, since 2×480519² = 461797018722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 480492 and 480501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12969 + ... + 13005.

It is an arithmetic number, because the mean of its divisors is an integer number (32830).

2⁴⁸⁰⁵¹⁹ is an apocalyptic number.

480519 is a deficient number, since it is larger than the sum of its proper divisors (307401).

480519 is a wasteful number, since it uses less digits than its factorization.

480519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 480519 is about 693.1947778222. The cubic root of 480519 is about 78.3255623296.

It can be divided in two parts, 480 and 519, that added together give a palindrome (999).

The spelling of 480519 in words is "four hundred eighty thousand, five hundred nineteen".