505200410260 has 288 divisors, whose sum is σ = 1335085500672. Its totient is φ = 157212057600.

The previous prime is 505200410233. The next prime is 505200410269. The reversal of 505200410260 is 62014002505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505200410269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 389513932 + ... + 389515228.

It is an arithmetic number, because the mean of its divisors is an integer number (4635713544).

Almost surely, 2^505200410260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505200410260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667542750336).

505200410260 is an abundant number, since it is smaller than the sum of its proper divisors (829885090412).

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

505200410260 is a wasteful number, since it uses less digits than its factorization.

505200410260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 505200410260 its reverse (62014002505), we get a palindrome (567214412765).

The spelling of 505200410260 in words is "five hundred five billion, two hundred million, four hundred ten thousand, two hundred sixty".