518676480 has 448 divisors, whose sum is σ = 2138964480. Its totient is φ = 116785152.

The previous prime is 518676467. The next prime is 518676481. The reversal of 518676480 is 84676815.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518676481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7741407 + ... + 7741473.

Almost surely, 2^518676480 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 518676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069482240).

518676480 is an abundant number, since it is smaller than the sum of its proper divisors (1620288000).

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

518676480 is an equidigital number, since it uses as much as digits as its factorization.

518676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 518676480 is about 22774.4699169926. The cubic root of 518676480 is about 803.4623270799.

The spelling of 518676480 in words is "five hundred eighteen million, six hundred seventy-six thousand, four hundred eighty".