480000520 has 32 divisors (see below), whose sum is σ = 1087263000. Its totient is φ = 190709248.

The previous prime is 480000503. The next prime is 480000527. The reversal of 480000520 is 25000084.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 276024996 + 203975524 = 16614^2 + 14282^2 .

480000520 is a modest number, since divided by 520 gives 480 as remainder.

It is not an unprimeable number, because it can be changed into a prime (480000527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34309 + ... + 46228.

Almost surely, 2^480000520 is an apocalyptic number.

480000520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480000520 is an abundant number, since it is smaller than the sum of its proper divisors (607262480).

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

480000520 is a wasteful number, since it uses less digits than its factorization.

480000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80697 (or 80693 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 480000520 is about 21908.9141675255. The cubic root of 480000520 is about 782.9738109741.

The spelling of 480000520 in words is "four hundred eighty million, five hundred twenty", and thus it is an aban number.