480004015 has 32 divisors (see below), whose sum is σ = 604558080. Its totient is φ = 365568000.

The previous prime is 480004003. The next prime is 480004037. The reversal of 480004015 is 510400084.

It is not a de Polignac number, because 480004015 - 2⁵ = 480003983 is a prime.

It is a super-2 number, since 2×480004015² = 460807708832240450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2008266 + ... + 2008504.

It is an arithmetic number, because the mean of its divisors is an integer number (18892440).

Almost surely, 2^480004015 is an apocalyptic number.

480004015 is a deficient number, since it is larger than the sum of its proper divisors (124554065).

480004015 is a wasteful number, since it uses less digits than its factorization.

480004015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483.

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 480004015 is about 21908.9939294346. The cubic root of 480004015 is about 782.9757113101.

Adding to 480004015 its reverse (510400084), we get a palindrome (990404099).

The spelling of 480004015 in words is "four hundred eighty million, four thousand, fifteen".