505031322400 has 288 divisors, whose sum is σ = 1385175218112. Its totient is φ = 178188595200.

The previous prime is 505031322361. The next prime is 505031322401. The reversal of 505031322400 is 4223130505.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (505031322401) 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 47 ways as a sum of consecutive naturals, for example, 129261247 + ... + 129265153.

It is an arithmetic number, because the mean of its divisors is an integer number (4809636174).

Almost surely, 2^505031322400 is an apocalyptic number.

505031322400 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 505031322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692587609056).

505031322400 is an abundant number, since it is smaller than the sum of its proper divisors (880143895712).

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

505031322400 is a wasteful number, since it uses less digits than its factorization.

505031322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 505031322400 its reverse (4223130505), we get a palindrome (509254452905).

The spelling of 505031322400 in words is "five hundred five billion, thirty-one million, three hundred twenty-two thousand, four hundred".