505223410400 has 72 divisors (see below), whose sum is σ = 1241545004784. Its totient is φ = 200750976000.

The previous prime is 505223410343. The next prime is 505223410427. The reversal of 505223410400 is 4014322505.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 505223410400.

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 11 ways as a sum of consecutive naturals, for example, 1970357 + ... + 2211956.

It is an arithmetic number, because the mean of its divisors is an integer number (17243680622).

Almost surely, 2^505223410400 is an apocalyptic number.

505223410400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505223410400 is an abundant number, since it is smaller than the sum of its proper divisors (736321594384).

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

505223410400 is a wasteful number, since it uses less digits than its factorization.

505223410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182484 (or 4182471 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 505223410400 its reverse (4014322505), we get a palindrome (509237732905).

The spelling of 505223410400 in words is "five hundred five billion, two hundred twenty-three million, four hundred ten thousand, four hundred".