504025200 has 480 divisors, whose sum is σ = 2103436800. Its totient is φ = 112250880.

The previous prime is 504025189. The next prime is 504025201. The reversal of 504025200 is 2520405.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504025201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4460344 + ... + 4460456.

It is an arithmetic number, because the mean of its divisors is an integer number (4382160).

Almost surely, 2^504025200 is an apocalyptic number.

504025200 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 504025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051718400).

504025200 is an abundant number, since it is smaller than the sum of its proper divisors (1599411600).

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

504025200 is a wasteful number, since it uses less digits than its factorization.

504025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 504025200 is about 22450.5055622362. The cubic root of 504025200 is about 795.8247048823.

Adding to 504025200 its reverse (2520405), we get a palindrome (506545605).

The spelling of 504025200 in words is "five hundred four million, twenty-five thousand, two hundred".