518868000 has 576 divisors, whose sum is σ = 2207761920. Its totient is φ = 112896000.

The previous prime is 518867989. The next prime is 518868011. The reversal of 518868000 is 868815.

It is an interprime number because it is at equal distance from previous prime (518867989) and next prime (518868011).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 7307965 + ... + 7308035.

It is an arithmetic number, because the mean of its divisors is an integer number (3832920).

Almost surely, 2^518868000 is an apocalyptic number.

518868000 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 518868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103880960).

518868000 is an abundant number, since it is smaller than the sum of its proper divisors (1688893920).

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

518868000 is a wasteful number, since it uses less digits than its factorization.

518868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 518868000 is about 22778.6742371017. The cubic root of 518868000 is about 803.5612070657.

The spelling of 518868000 in words is "five hundred eighteen million, eight hundred sixty-eight thousand".