505936900 has 72 divisors (see below), whose sum is σ = 1298041920. Its totient is φ = 167475840.

The previous prime is 505936889. The next prime is 505936903. The reversal of 505936900 is 9639505.

It is a super-2 number, since 2×505936900² = 511944293563220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 505936900.

It is not an unprimeable number, because it can be changed into a prime (505936903) 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, 7839 + ... + 32761.

It is an arithmetic number, because the mean of its divisors is an integer number (18028360).

Almost surely, 2^505936900 is an apocalyptic number.

505936900 is a gapful number since it is divisible by the number (50) 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 505936900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649020960).

505936900 is an abundant number, since it is smaller than the sum of its proper divisors (792105020).

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

505936900 is a wasteful number, since it uses less digits than its factorization.

505936900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24973 (or 24966 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 37.

The square root of 505936900 is about 22493.0411460967. The cubic root of 505936900 is about 796.8295876210.

The spelling of 505936900 in words is "five hundred five million, nine hundred thirty-six thousand, nine hundred".