506080960 has 448 divisors, whose sum is σ = 1685422080. Its totient is φ = 139898880.

The previous prime is 506080957. The next prime is 506080987. The reversal of 506080960 is 69080605.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×506080960² = 512235876149043200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10767657 + ... + 10767703.

Almost surely, 2^506080960 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 506080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842711040).

506080960 is an abundant number, since it is smaller than the sum of its proper divisors (1179341120).

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

506080960 is a wasteful number, since it uses less digits than its factorization.

506080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 506080960 is about 22496.2432419282. The cubic root of 506080960 is about 796.9052099479.

It can be divided in two parts, 5060 and 80960, that multiplied together give a square (409657600 = 20240²).

The spelling of 506080960 in words is "five hundred six million, eighty thousand, nine hundred sixty".