506755280 has 80 divisors (see below), whose sum is σ = 1230256080. Its totient is φ = 193880064.

The previous prime is 506755267. The next prime is 506755331. The reversal of 506755280 is 82557605.

It can be written as a sum of positive squares in 8 ways, for example, as 42094144 + 464661136 = 6488^2 + 21556^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261194 + ... + 263126.

It is an arithmetic number, because the mean of its divisors is an integer number (15378201).

Almost surely, 2^506755280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506755280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615128040).

506755280 is an abundant number, since it is smaller than the sum of its proper divisors (723500800).

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

506755280 is a wasteful number, since it uses less digits than its factorization.

506755280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 38.

The square root of 506755280 is about 22511.2256441092. The cubic root of 506755280 is about 797.2589943357.

It can be divided in two parts, 50675 and 5280, that added together give a palindrome (55955).

The spelling of 506755280 in words is "five hundred six million, seven hundred fifty-five thousand, two hundred eighty".