518419080 has 384 divisors, whose sum is σ = 1940889600. Its totient is φ = 119218176.

The previous prime is 518419039. The next prime is 518419091. The reversal of 518419080 is 80914815.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4081977 + ... + 4082103.

It is an arithmetic number, because the mean of its divisors is an integer number (5054400).

Almost surely, 2^518419080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518419080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970444800).

518419080 is an abundant number, since it is smaller than the sum of its proper divisors (1422470520).

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

518419080 is a wasteful number, since it uses less digits than its factorization.

518419080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 518419080 is about 22768.8181511470. The cubic root of 518419080 is about 803.3293955183.

The spelling of 518419080 in words is "five hundred eighteen million, four hundred nineteen thousand, eighty".