504112000 has 192 divisors, whose sum is σ = 1460244240. Its totient is φ = 172569600.

The previous prime is 504111997. The next prime is 504112001. The reversal of 504112000 is 211405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504112001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783679 + ... + 784321.

Almost surely, 2^504112000 is an apocalyptic number.

504112000 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 504112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730122120).

504112000 is an abundant number, since it is smaller than the sum of its proper divisors (956132240).

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

504112000 is an equidigital number, since it uses as much as digits as its factorization.

504112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 504112000 is about 22452.4386203370. The cubic root of 504112000 is about 795.8703862089.

Adding to 504112000 its reverse (211405), we get a palindrome (504323405).

The spelling of 504112000 in words is "five hundred four million, one hundred twelve thousand".