504405300 has 288 divisors, whose sum is σ = 1799884800. Its totient is φ = 106444800.

The previous prime is 504405281. The next prime is 504405311. The reversal of 504405300 is 3504405.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2534601 + ... + 2534799.

It is an arithmetic number, because the mean of its divisors is an integer number (6249600).

Almost surely, 2^504405300 is an apocalyptic number.

504405300 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 504405300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899942400).

504405300 is an abundant number, since it is smaller than the sum of its proper divisors (1295479500).

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

504405300 is a wasteful number, since it uses less digits than its factorization.

504405300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 504405300 is about 22458.9692550660. The cubic root of 504405300 is about 796.0247061008.

Adding to 504405300 its reverse (3504405), we get a palindrome (507909705).

The spelling of 504405300 in words is "five hundred four million, four hundred five thousand, three hundred".