505200410464 has 96 divisors (see below), whose sum is σ = 1014726817440. Its totient is φ = 247542054912.

The previous prime is 505200410447. The next prime is 505200410479. The reversal of 505200410464 is 464014002505.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 313983292 + ... + 313984900.

It is an arithmetic number, because the mean of its divisors is an integer number (10570071015).

Almost surely, 2^505200410464 is an apocalyptic number.

It is an amenable number.

505200410464 is an abundant number, since it is smaller than the sum of its proper divisors (509526406976).

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

505200410464 is a wasteful number, since it uses less digits than its factorization.

505200410464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 505200410464 its reverse (464014002505), we get a palindrome (969214412969).

The spelling of 505200410464 in words is "five hundred five billion, two hundred million, four hundred ten thousand, four hundred sixty-four".