480528810 has 96 divisors (see below), whose sum is σ = 1324552320. Its totient is φ = 120528000.

The previous prime is 480528803. The next prime is 480528833. The reversal of 480528810 is 18825084.

It is a super-2 number, since 2×480528810² = 461815874480032200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257280 + ... + 259140.

It is an arithmetic number, because the mean of its divisors is an integer number (13797420).

Almost surely, 2^480528810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480528810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662276160).

480528810 is an abundant number, since it is smaller than the sum of its proper divisors (844023510).

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

480528810 is a wasteful number, since it uses less digits than its factorization.

480528810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2041 counting only the distinct ones).

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

The square root of 480528810 is about 21920.9673600414. The cubic root of 480528810 is about 783.2609534250.

The spelling of 480528810 in words is "four hundred eighty million, five hundred twenty-eight thousand, eight hundred ten".