505735650 has 120 divisors (see below), whose sum is σ = 1606028160. Its totient is φ = 115590240.

The previous prime is 505735639. The next prime is 505735691. The reversal of 505735650 is 56537505.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19431 + ... + 37269.

It is an arithmetic number, because the mean of its divisors is an integer number (13383568).

Almost surely, 2^505735650 is an apocalyptic number.

505735650 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 505735650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803014080).

505735650 is an abundant number, since it is smaller than the sum of its proper divisors (1100292510).

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

505735650 is a wasteful number, since it uses less digits than its factorization.

505735650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17870 (or 17856 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The square root of 505735650 is about 22488.5670953042. The cubic root of 505735650 is about 796.7239201474.

The spelling of 505735650 in words is "five hundred five million, seven hundred thirty-five thousand, six hundred fifty".