506071080 has 192 divisors, whose sum is σ = 1744142400. Its totient is φ = 126904320.

The previous prime is 506071073. The next prime is 506071081. The reversal of 506071080 is 80170605.

506071080 is a `hidden beast` number, since 50 + 607 + 1 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×506071080² = 512215876024732800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506071081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1648287 + ... + 1648593.

It is an arithmetic number, because the mean of its divisors is an integer number (9084075).

Almost surely, 2^506071080 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 506071080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872071200).

506071080 is an abundant number, since it is smaller than the sum of its proper divisors (1238071320).

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

506071080 is a wasteful number, since it uses less digits than its factorization.

506071080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 506071080 is about 22496.0236486362. The cubic root of 506071080 is about 796.9000240354.

The spelling of 506071080 in words is "five hundred six million, seventy-one thousand, eighty".