506375856 has 120 divisors (see below), whose sum is σ = 1624173824. Its totient is φ = 144270720.

The previous prime is 506375851. The next prime is 506375861. The reversal of 506375856 is 658573605.

506375856 is a `hidden beast` number, since 5 + 0 + 63 + 7 + 585 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (506375851) and next prime (506375861).

It is not an unprimeable number, because it can be changed into a prime (506375851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696165 + ... + 696891.

Almost surely, 2^506375856 is an apocalyptic number.

506375856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506375856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812086912).

506375856 is an abundant number, since it is smaller than the sum of its proper divisors (1117797968).

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

506375856 is a wasteful number, since it uses less digits than its factorization.

506375856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 506375856 is about 22502.7966261974. The cubic root of 506375856 is about 797.0599668255.

The spelling of 506375856 in words is "five hundred six million, three hundred seventy-five thousand, eight hundred fifty-six".