504225200 has 60 divisors (see below), whose sum is σ = 1215172968. Its totient is φ = 201062400.

The previous prime is 504225191. The next prime is 504225203. The reversal of 504225200 is 2522405.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (504225203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139415 + ... + 142985.

Almost surely, 2^504225200 is an apocalyptic number.

504225200 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 504225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607586484).

504225200 is an abundant number, since it is smaller than the sum of its proper divisors (710947768).

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

504225200 is a wasteful number, since it uses less digits than its factorization.

504225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 504225200 is about 22454.9593631340. The cubic root of 504225200 is about 795.9299535174.

Adding to 504225200 its reverse (2522405), we get a palindrome (506747605).

The spelling of 504225200 in words is "five hundred four million, two hundred twenty-five thousand, two hundred".