504426610200 has 192 divisors, whose sum is σ = 1601242156800. Its totient is φ = 131290790400.

The previous prime is 504426610141. The next prime is 504426610201. The reversal of 504426610200 is 2016624405.

504426610200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504426610201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40215930 + ... + 40228470.

It is an arithmetic number, because the mean of its divisors is an integer number (8339802900).

Almost surely, 2^504426610200 is an apocalyptic number.

504426610200 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 504426610200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800621078400).

504426610200 is an abundant number, since it is smaller than the sum of its proper divisors (1096815546600).

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

504426610200 is a wasteful number, since it uses less digits than its factorization.

504426610200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14162 (or 14153 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 504426610200 in words is "five hundred four billion, four hundred twenty-six million, six hundred ten thousand, two hundred".