518438916 has 144 divisors (see below), whose sum is σ = 1423618560. Its totient is φ = 158699520.

The previous prime is 518438911. The next prime is 518438933. The reversal of 518438916 is 619834815.

518438916 is a `hidden beast` number, since 518 + 43 + 8 + 91 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (518438911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2686116 + ... + 2686308.

It is an arithmetic number, because the mean of its divisors is an integer number (9886240).

Almost surely, 2^518438916 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 518438916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711809280).

518438916 is an abundant number, since it is smaller than the sum of its proper divisors (905179644).

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

518438916 is a wasteful number, since it uses less digits than its factorization.

518438916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 341 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 518438916 is about 22769.2537427119. The cubic root of 518438916 is about 803.3396411795.

It can be divided in two parts, 5184 and 38916, that added together give a square (44100 = 210²).

The spelling of 518438916 in words is "five hundred eighteen million, four hundred thirty-eight thousand, nine hundred sixteen".