518648352 has 96 divisors (see below), whose sum is σ = 1428908544. Its totient is φ = 164505600.

The previous prime is 518648341. The next prime is 518648353. The reversal of 518648352 is 253846815.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×518648352² = 537992226064631808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (518648353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180108 + ... + 182964.

It is an arithmetic number, because the mean of its divisors is an integer number (14884464).

Almost surely, 2^518648352 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 518648352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714454272).

518648352 is an abundant number, since it is smaller than the sum of its proper divisors (910260192).

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

518648352 is a wasteful number, since it uses less digits than its factorization.

518648352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2954 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 518648352 is about 22773.8523750375. The cubic root of 518648352 is about 803.4478028066.

The spelling of 518648352 in words is "five hundred eighteen million, six hundred forty-eight thousand, three hundred fifty-two".