516405344 has 48 divisors (see below), whose sum is σ = 1251296928. Its totient is φ = 204291072.

The previous prime is 516405343. The next prime is 516405371. The reversal of 516405344 is 443504615.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 516405344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516405343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85757 + ... + 91580.

It is an arithmetic number, because the mean of its divisors is an integer number (26068686).

Almost surely, 2^516405344 is an apocalyptic number.

It is an amenable number.

516405344 is an abundant number, since it is smaller than the sum of its proper divisors (734891584).

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

516405344 is a wasteful number, since it uses less digits than its factorization.

516405344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177367 (or 177359 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 516405344 is about 22724.5537689962. The cubic root of 516405344 is about 802.2879006508.

Adding to 516405344 its reverse (443504615), we get a palindrome (959909959).

The spelling of 516405344 in words is "five hundred sixteen million, four hundred five thousand, three hundred forty-four".