504228171200 has 672 divisors, whose sum is σ = 1448236473600. Its totient is φ = 171236229120.

The previous prime is 504228171131. The next prime is 504228171211. The reversal of 504228171200 is 2171822405.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3627540731 + ... + 3627540869.

It is an arithmetic number, because the mean of its divisors is an integer number (2155113800).

Almost surely, 2^504228171200 is an apocalyptic number.

504228171200 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 504228171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724118236800).

504228171200 is an abundant number, since it is smaller than the sum of its proper divisors (944008302400).

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

504228171200 is a wasteful number, since it uses less digits than its factorization.

504228171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

Adding to 504228171200 its reverse (2171822405), we get a palindrome (506399993605).

The spelling of 504228171200 in words is "five hundred four billion, two hundred twenty-eight million, one hundred seventy-one thousand, two hundred".