518144480 has 48 divisors (see below), whose sum is σ = 1398993120. Its totient is φ = 177649152.

The previous prime is 518144467. The next prime is 518144507. The reversal of 518144480 is 84441815.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 518144480.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 230195 + ... + 232434.

It is an arithmetic number, because the mean of its divisors is an integer number (29145690).

Almost surely, 2^518144480 is an apocalyptic number.

It is an amenable number.

518144480 is an abundant number, since it is smaller than the sum of its proper divisors (880848640).

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

518144480 is a wasteful number, since it uses less digits than its factorization.

518144480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462651 (or 462643 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 518144480 is about 22762.7871755635. The cubic root of 518144480 is about 803.1875326763.

The spelling of 518144480 in words is "five hundred eighteen million, one hundred forty-four thousand, four hundred eighty".