480315 has 32 divisors (see below), whose sum is σ = 870912. Its totient is φ = 224000.

The previous prime is 480299. The next prime is 480317. The reversal of 480315 is 513084.

480315 = T₇₉ + T₈₀ + ... + T₁₄₉.

It is not a de Polignac number, because 480315 - 2⁴ = 480299 is a prime.

480315 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 480291 and 480300.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480315.

It is not an unprimeable number, because it can be changed into a prime (480317) 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 31 ways as a sum of consecutive naturals, for example, 6730 + ... + 6800.

It is an arithmetic number, because the mean of its divisors is an integer number (27216).

2⁴⁸⁰³¹⁵ is an apocalyptic number.

480315 is a deficient number, since it is larger than the sum of its proper divisors (390597).

480315 is a wasteful number, since it uses less digits than its factorization.

480315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 480315 is about 693.0476174117. The cubic root of 480315 is about 78.3144766240.

Adding to 480315 its reverse (513084), we get a palindrome (993399).

The spelling of 480315 in words is "four hundred eighty thousand, three hundred fifteen".