505008000 has 512 divisors, whose sum is σ = 2138572800. Its totient is φ = 114739200.

The previous prime is 505007999. The next prime is 505008037. The reversal of 505008000 is 800505.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3023917 + ... + 3024083.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2^505008000 is an apocalyptic number.

505008000 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 505008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069286400).

505008000 is an abundant number, since it is smaller than the sum of its proper divisors (1633564800).

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

505008000 is a wasteful number, since it uses less digits than its factorization.

505008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 505008000 is about 22472.3830512031. The cubic root of 505008000 is about 796.3416292388.

Adding to 505008000 its reverse (800505), we get a palindrome (505808505).

The spelling of 505008000 in words is "five hundred five million, eight thousand".