518663040 has 384 divisors, whose sum is σ = 1988388000. Its totient is φ = 114573312.

The previous prime is 518663027. The next prime is 518663063. The reversal of 518663040 is 40366815.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×518663040² = 538022698124083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 518662992 and 518663010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3480886 + ... + 3481034.

Almost surely, 2^518663040 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 518663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994194000).

518663040 is an abundant number, since it is smaller than the sum of its proper divisors (1469724960).

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

518663040 is a wasteful number, since it uses less digits than its factorization.

518663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 518663040 is about 22774.1748478403. The cubic root of 518663040 is about 803.4553872196.

The spelling of 518663040 in words is "five hundred eighteen million, six hundred sixty-three thousand, forty".