518788480 has 192 divisors, whose sum is σ = 1469314080. Its totient is φ = 174612480.

The previous prime is 518788477. The next prime is 518788481. The reversal of 518788480 is 84887815.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518788481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2226444 + ... + 2226676.

Almost surely, 2^518788480 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 518788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734657040).

518788480 is an abundant number, since it is smaller than the sum of its proper divisors (950525600).

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

518788480 is a wasteful number, since it uses less digits than its factorization.

518788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 49.

The square root of 518788480 is about 22776.9286779408. The cubic root of 518788480 is about 803.5201545875.

The spelling of 518788480 in words is "five hundred eighteen million, seven hundred eighty-eight thousand, four hundred eighty".