505303242400 has 144 divisors (see below), whose sum is σ = 1359040703328. Its totient is φ = 181927040000.

The previous prime is 505303242359. The next prime is 505303242403. The reversal of 505303242400 is 4242303505.

It is not an unprimeable number, because it can be changed into a prime (505303242403) 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, 604539 + ... + 1173061.

It is an arithmetic number, because the mean of its divisors is an integer number (9437782662).

Almost surely, 2^505303242400 is an apocalyptic number.

505303242400 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 505303242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679520351664).

505303242400 is an abundant number, since it is smaller than the sum of its proper divisors (853737460928).

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

505303242400 is a wasteful number, since it uses less digits than its factorization.

505303242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568655 (or 568642 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 505303242400 its reverse (4242303505), we get a palindrome (509545545905).

The spelling of 505303242400 in words is "five hundred five billion, three hundred three million, two hundred forty-two thousand, four hundred".