504200453200 has 120 divisors (see below), whose sum is σ = 1232302808376. Its totient is φ = 198196224000.

The previous prime is 504200453177. The next prime is 504200453201. The reversal of 504200453200 is 2354002405.

It can be written as a sum of positive squares in 12 ways, for example, as 331191042064 + 173009411136 = 575492^2 + 415944^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504200453201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29100540 + ... + 29117860.

Almost surely, 2^504200453200 is an apocalyptic number.

504200453200 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 504200453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616151404188).

504200453200 is an abundant number, since it is smaller than the sum of its proper divisors (728102355176).

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

504200453200 is a wasteful number, since it uses less digits than its factorization.

504200453200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18593 (or 18582 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 504200453200 its reverse (2354002405), we get a palindrome (506554455605).

The spelling of 504200453200 in words is "five hundred four billion, two hundred million, four hundred fifty-three thousand, two hundred".