504900900 has 243 divisors, whose sum is σ = 1858330929. Its totient is φ = 114327360.

The previous prime is 504900887. The next prime is 504900911. The reversal of 504900900 is 9009405.

It is a happy number.

The square root of 504900900 is 22470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 181764324 + 323136576 = 13482^2 + 17976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4718647 + ... + 4718753.

Almost surely, 2^504900900 is an apocalyptic number.

504900900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

504900900 is the 22470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504900900

504900900 is an abundant number, since it is smaller than the sum of its proper divisors (1353430029).

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

504900900 is a wasteful number, since it uses less digits than its factorization.

504900900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The cubic root of 504900900 is about 796.2853303166.

The spelling of 504900900 in words is "five hundred four million, nine hundred thousand, nine hundred".