504666000 has 360 divisors, whose sum is σ = 1877364216. Its totient is φ = 126297600.

The previous prime is 504665989. The next prime is 504666013. The reversal of 504666000 is 666405.

It can be written as a sum of positive squares in 4 ways, for example, as 4875264 + 499790736 = 2208^2 + 22356^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 9521974 + ... + 9522026.

Almost surely, 2^504666000 is an apocalyptic number.

504666000 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 504666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938682108).

504666000 is an abundant number, since it is smaller than the sum of its proper divisors (1372698216).

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

504666000 is a wasteful number, since it uses less digits than its factorization.

504666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 504666000 is about 22464.7724226176. The cubic root of 504666000 is about 796.1618232819.

The spelling of 504666000 in words is "five hundred four million, six hundred sixty-six thousand".