505000000 has 112 divisors (see below), whose sum is σ = 1265035824. Its totient is φ = 200000000.

The previous prime is 504999959. The next prime is 505000003. The reversal of 505000000 is 505.

It can be written as a sum of positive squares in 8 ways, for example, as 484352064 + 20647936 = 22008^2 + 4544^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4999950 + ... + 5000050.

Almost surely, 2^505000000 is an apocalyptic number.

505000000 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 505000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632517912).

505000000 is an abundant number, since it is smaller than the sum of its proper divisors (760035824).

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

505000000 is an frugal number, since it uses more digits than its factorization.

505000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 10.

The square root of 505000000 is about 22472.2050542442. The cubic root of 505000000 is about 796.3374241789.

Adding to 505000000 its reverse (505), we get a palindrome (505000505).

Multiplying 505000000 by its reverse (505), we get a square (255025000000 = 505000²).

505000000 divided by its reverse (505) gives a 6-th power (1000000 = 10⁶).

The spelling of 505000000 in words is "five hundred five million", and thus it is an aban number.