4500528480 has 720 divisors, whose sum is σ = 19500853680. Its totient is φ = 971937792.

The previous prime is 4500528451. The next prime is 4500528481. The reversal of 4500528480 is 848250054.

4500528480 is a `hidden beast` number, since 4 + 50 + 0 + 528 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×4500528480² = 40509513198582220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4500528481) 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 119 ways as a sum of consecutive naturals, for example, 12065574 + ... + 12065946.

It is an arithmetic number, because the mean of its divisors is an integer number (27084519).

Almost surely, 2^4500528480 is an apocalyptic number.

4500528480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4500528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9750426840).

4500528480 is an abundant number, since it is smaller than the sum of its proper divisors (15000325200).

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

4500528480 is a wasteful number, since it uses less digits than its factorization.

4500528480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 4500528480 is about 67085.9782666989. The cubic root of 4500528480 is about 1651.0282516401.

The spelling of 4500528480 in words is "four billion, five hundred million, five hundred twenty-eight thousand, four hundred eighty".