518961408 has 144 divisors (see below), whose sum is σ = 1621791360. Its totient is φ = 144211968.

The previous prime is 518961407. The next prime is 518961419. The reversal of 518961408 is 804169815.

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

It is a self number, because there is not a number n which added to its sum of digits gives 518961408.

It is not an unprimeable number, because it can be changed into a prime (518961407) 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, 197608 + ... + 200216.

It is an arithmetic number, because the mean of its divisors is an integer number (11262440).

Almost surely, 2^518961408 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 518961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810895680).

518961408 is an abundant number, since it is smaller than the sum of its proper divisors (1102829952).

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

518961408 is a wasteful number, since it uses less digits than its factorization.

518961408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 518961408 is about 22780.7244836506. The cubic root of 518961408 is about 803.6094239157.

The spelling of 518961408 in words is "five hundred eighteen million, nine hundred sixty-one thousand, four hundred eight".