506966256 has 80 divisors (see below), whose sum is σ = 1458076320. Its totient is φ = 168652800.

The previous prime is 506966237. The next prime is 506966261. The reversal of 506966256 is 652669605.

506966256 is a `hidden beast` number, since 506 + 96 + 6 + 2 + 56 = 666.

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, 315856 + ... + 317456.

It is an arithmetic number, because the mean of its divisors is an integer number (18225954).

Almost surely, 2^506966256 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 506966256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729038160).

506966256 is an abundant number, since it is smaller than the sum of its proper divisors (951110064).

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

506966256 is a wasteful number, since it uses less digits than its factorization.

506966256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 506966256 is about 22515.9111741009. The cubic root of 506966256 is about 797.3696191831.

The spelling of 506966256 in words is "five hundred six million, nine hundred sixty-six thousand, two hundred fifty-six".