502080480 has 288 divisors, whose sum is σ = 1935329760. Its totient is φ = 117411840.

The previous prime is 502080473. The next prime is 502080521. The reversal of 502080480 is 84080205.

502080480 is a `hidden beast` number, since 502 + 0 + 80 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458814 + ... + 459906.

It is an arithmetic number, because the mean of its divisors is an integer number (6719895).

Almost surely, 2^502080480 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 502080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967664880).

502080480 is an abundant number, since it is smaller than the sum of its proper divisors (1433249280).

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

502080480 is a wasteful number, since it uses less digits than its factorization.

502080480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 502080480 is about 22407.1524295257. The cubic root of 502080480 is about 794.7998546837.

The spelling of 502080480 in words is "five hundred two million, eighty thousand, four hundred eighty".