518049792 has 312 divisors, whose sum is σ = 1717357824. Its totient is φ = 149225472.

The previous prime is 518049787. The next prime is 518049793. The reversal of 518049792 is 297940815.

518049792 is a `hidden beast` number, since 518 + 0 + 49 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518049793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11022313 + ... + 11022359.

It is an arithmetic number, because the mean of its divisors is an integer number (5504352).

Almost surely, 2^518049792 is an apocalyptic number.

518049792 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518049792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858678912).

518049792 is an abundant number, since it is smaller than the sum of its proper divisors (1199308032).

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

518049792 is a wasteful number, since it uses less digits than its factorization.

518049792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 518049792 is about 22760.7071946370. The cubic root of 518049792 is about 803.1386036889.

The spelling of 518049792 in words is "five hundred eighteen million, forty-nine thousand, seven hundred ninety-two".