518000000 has 224 divisors, whose sum is σ = 1514043120. Its totient is φ = 172800000.

The previous prime is 517999957. The next prime is 518000009. The reversal of 518000000 is 815.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518000009) 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 27 ways as a sum of consecutive naturals, for example, 13999982 + ... + 14000018.

Almost surely, 2^518000000 is an apocalyptic number.

518000000 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 518000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757021560).

518000000 is an abundant number, since it is smaller than the sum of its proper divisors (996043120).

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

518000000 is an frugal number, since it uses more digits than its factorization.

518000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 518000000 is about 22759.6133534821. The cubic root of 518000000 is about 803.1128718260.

Adding to 518000000 its reverse (815), we get a palindrome (518000815).

The spelling of 518000000 in words is "five hundred eighteen million", and thus it is an aban number.