518404320 has 576 divisors, whose sum is σ = 2206310400. Its totient is φ = 113218560.

The previous prime is 518404279. The next prime is 518404321. The reversal of 518404320 is 23404815.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518404321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6562041 + ... + 6562119.

It is an arithmetic number, because the mean of its divisors is an integer number (3830400).

Almost surely, 2^518404320 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 518404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103155200).

518404320 is an abundant number, since it is smaller than the sum of its proper divisors (1687906080).

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

518404320 is a wasteful number, since it uses less digits than its factorization.

518404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 518404320 is about 22768.4940213445. The cubic root of 518404320 is about 803.3217715356.

The spelling of 518404320 in words is "five hundred eighteen million, four hundred four thousand, three hundred twenty".