502088080 has 80 divisors (see below), whose sum is σ = 1281011760. Its totient is φ = 181868544.

The previous prime is 502088063. The next prime is 502088089. The reversal of 502088080 is 80880205.

It can be written as a sum of positive squares in 8 ways, for example, as 66781584 + 435306496 = 8172^2 + 20864^2 .

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

It is not an unprimeable number, because it can be changed into a prime (502088089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50566 + ... + 59674.

It is an arithmetic number, because the mean of its divisors is an integer number (16012647).

Almost surely, 2^502088080 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 502088080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640505880).

502088080 is an abundant number, since it is smaller than the sum of its proper divisors (778923680).

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

502088080 is a wasteful number, since it uses less digits than its factorization.

502088080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9188 (or 9182 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 502088080 is about 22407.3220175906. The cubic root of 502088080 is about 794.8038649627.

The spelling of 502088080 in words is "five hundred two million, eighty-eight thousand, eighty".