505715850 has 72 divisors (see below), whose sum is σ = 1361561292. Its totient is φ = 134572800.

The previous prime is 505715839. The next prime is 505715851. The reversal of 505715850 is 58517505.

505715850 is a `hidden beast` number, since 5 + 0 + 5 + 71 + 585 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 174002481 + 331713369 = 13191^2 + 18213^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505715851) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 292990 + ... + 294710.

Almost surely, 2^505715850 is an apocalyptic number.

505715850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 505715850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680780646).

505715850 is an abundant number, since it is smaller than the sum of its proper divisors (855845442).

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

505715850 is a wasteful number, since it uses less digits than its factorization.

505715850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 36.

The square root of 505715850 is about 22488.1268673049. The cubic root of 505715850 is about 796.7135225287.

The spelling of 505715850 in words is "five hundred five million, seven hundred fifteen thousand, eight hundred fifty".