505530000 has 300 divisors, whose sum is σ = 1824250428. Its totient is φ = 130560000.

The previous prime is 505529971. The next prime is 505530013. The reversal of 505530000 is 35505.

It can be written as a sum of positive squares in 10 ways, for example, as 471237264 + 34292736 = 21708^2 + 5856^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3689932 + ... + 3690068.

Almost surely, 2^505530000 is an apocalyptic number.

505530000 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 505530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912125214).

505530000 is an abundant number, since it is smaller than the sum of its proper divisors (1318720428).

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

505530000 is a wasteful number, since it uses less digits than its factorization.

505530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 505530000 is about 22483.9943070621. The cubic root of 505530000 is about 796.6159134660.

Adding to 505530000 its reverse (35505), we get a palindrome (505565505).

The spelling of 505530000 in words is "five hundred five million, five hundred thirty thousand".