518052480 has 256 divisors, whose sum is σ = 1897689600. Its totient is φ = 118886400.

The previous prime is 518052473. The next prime is 518052481. The reversal of 518052480 is 84250815.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (518052481) 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 31 ways as a sum of consecutive naturals, for example, 400635 + ... + 401925.

It is an arithmetic number, because the mean of its divisors is an integer number (7412850).

Almost surely, 2^518052480 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 518052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948844800).

518052480 is an abundant number, since it is smaller than the sum of its proper divisors (1379637120).

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

518052480 is a wasteful number, since it uses less digits than its factorization.

518052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 518052480 is about 22760.7662436922. The cubic root of 518052480 is about 803.1399927657.

It can be divided in two parts, 51805 and 2480, that added together give a triangular number (54285 = T₃₂₉).

The spelling of 518052480 in words is "five hundred eighteen million, fifty-two thousand, four hundred eighty".