518076040 has 128 divisors (see below), whose sum is σ = 1277337600. Its totient is φ = 188455680.

The previous prime is 518076029. The next prime is 518076043. The reversal of 518076040 is 40670815.

518076040 = T₂₁₆ + T₂₁₇ + ... + T₁₄₆₀.

It is a junction number, because it is equal to n+sod(n) for n = 518075993 and 518076011.

It is not an unprimeable number, because it can be changed into a prime (518076043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2712345 + ... + 2712535.

It is an arithmetic number, because the mean of its divisors is an integer number (9979200).

Almost surely, 2^518076040 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 518076040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638668800).

518076040 is an abundant number, since it is smaller than the sum of its proper divisors (759261560).

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

518076040 is a wasteful number, since it uses less digits than its factorization.

518076040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 518076040 is about 22761.2837950762. The cubic root of 518076040 is about 803.1521676528.

The spelling of 518076040 in words is "five hundred eighteen million, seventy-six thousand, forty".