518171940 has 288 divisors, whose sum is σ = 1895467392. Its totient is φ = 112896000.

The previous prime is 518171923. The next prime is 518171957. The reversal of 518171940 is 49171815.

It is an interprime number because it is at equal distance from previous prime (518171923) and next prime (518171957).

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

It is a junction number, because it is equal to n+sod(n) for n = 518171895 and 518171904.

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, 1055095 + ... + 1055585.

It is an arithmetic number, because the mean of its divisors is an integer number (6581484).

Almost surely, 2^518171940 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 518171940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947733696).

518171940 is an abundant number, since it is smaller than the sum of its proper divisors (1377295452).

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

518171940 is a wasteful number, since it uses less digits than its factorization.

518171940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 518171940 is about 22763.3903450255. The cubic root of 518171940 is about 803.2017212157.

The spelling of 518171940 in words is "five hundred eighteen million, one hundred seventy-one thousand, nine hundred forty".