505805300 has 288 divisors, whose sum is σ = 1530568704. Its totient is φ = 139968000.

The previous prime is 505805299. The next prime is 505805317. The reversal of 505805300 is 3508505.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 505805300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3103019 + ... + 3103181.

Almost surely, 2^505805300 is an apocalyptic number.

505805300 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 505805300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765284352).

505805300 is an abundant number, since it is smaller than the sum of its proper divisors (1024763404).

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

505805300 is a wasteful number, since it uses less digits than its factorization.

505805300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 505805300 is about 22490.1156066393. The cubic root of 505805300 is about 796.7604934533.

The spelling of 505805300 in words is "five hundred five million, eight hundred five thousand, three hundred".