518953344 has 128 divisors (see below), whose sum is σ = 1696692480. Its totient is φ = 136857600.

The previous prime is 518953333. The next prime is 518953381. The reversal of 518953344 is 443359815.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 518953296 and 518953305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27519 + ... + 42369.

It is an arithmetic number, because the mean of its divisors is an integer number (13255410).

Almost surely, 2^518953344 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 518953344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848346240).

518953344 is an abundant number, since it is smaller than the sum of its proper divisors (1177739136).

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

518953344 is a wasteful number, since it uses less digits than its factorization.

518953344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14888 (or 14876 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 518953344 is about 22780.5474912259. The cubic root of 518953344 is about 803.6052615382.

The spelling of 518953344 in words is "five hundred eighteen million, nine hundred fifty-three thousand, three hundred forty-four".