518450000 has 60 divisors (see below), whose sum is σ = 1255661820. Its totient is φ = 207360000.

The previous prime is 518449993. The next prime is 518450021. The reversal of 518450000 is 54815.

It can be written as a sum of positive squares in 6 ways, for example, as 505890064 + 12559936 = 22492^2 + 3544^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44816 + ... + 55184.

It is an arithmetic number, because the mean of its divisors is an integer number (20927697).

Almost surely, 2^518450000 is an apocalyptic number.

518450000 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 518450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627830910).

518450000 is an abundant number, since it is smaller than the sum of its proper divisors (737211820).

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

518450000 is an equidigital number, since it uses as much as digits as its factorization.

518450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10402 (or 10376 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 518450000 is about 22769.4971398140. The cubic root of 518450000 is about 803.3453661568.

The spelling of 518450000 in words is "five hundred eighteen million, four hundred fifty thousand".