504489600 has 192 divisors, whose sum is σ = 1846608000. Its totient is φ = 134507520.

The previous prime is 504489551. The next prime is 504489607. The reversal of 504489600 is 6984405.

504489600 is a `hidden beast` number, since 5 + 0 + 4 + 48 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (504489607) 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, 83481 + ... + 89319.

It is an arithmetic number, because the mean of its divisors is an integer number (9617750).

Almost surely, 2^504489600 is an apocalyptic number.

504489600 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 504489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923304000).

504489600 is an abundant number, since it is smaller than the sum of its proper divisors (1342118400).

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

504489600 is a wasteful number, since it uses less digits than its factorization.

504489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5872 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 504489600 is about 22460.8459324220. The cubic root of 504489600 is about 796.0690495053.

The spelling of 504489600 in words is "five hundred four million, four hundred eighty-nine thousand, six hundred".