480028815 has 64 divisors (see below), whose sum is σ = 978739200. Its totient is φ = 218668032.

The previous prime is 480028807. The next prime is 480028817. The reversal of 480028815 is 518820084.

It is not a de Polignac number, because 480028815 - 2³ = 480028807 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 480028815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480028817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332866 + ... + 334304.

It is an arithmetic number, because the mean of its divisors is an integer number (15292800).

Almost surely, 2^480028815 is an apocalyptic number.

480028815 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

480028815 is an abundant number, since it is smaller than the sum of its proper divisors (498710385).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480028815 is a wasteful number, since it uses less digits than its factorization.

480028815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 480028815 is about 21909.5598997333. The cubic root of 480028815 is about 782.9891955468.

Adding to 480028815 its reverse (518820084), we get a palindrome (998848899).

The spelling of 480028815 in words is "four hundred eighty million, twenty-eight thousand, eight hundred fifteen".