516624340 has 48 divisors (see below), whose sum is σ = 1117653264. Its totient is φ = 200448000.

The previous prime is 516624319. The next prime is 516624343. The reversal of 516624340 is 43426615.

It can be written as a sum of positive squares in 8 ways, for example, as 7851204 + 508773136 = 2802^2 + 22556^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516624343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295870 + ... + 297610.

It is an arithmetic number, because the mean of its divisors is an integer number (23284443).

Almost surely, 2^516624340 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 516624340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558826632).

516624340 is an abundant number, since it is smaller than the sum of its proper divisors (601028924).

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

516624340 is a wasteful number, since it uses less digits than its factorization.

516624340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 516624340 is about 22729.3717467069. The cubic root of 516624340 is about 802.4012954303.

The spelling of 516624340 in words is "five hundred sixteen million, six hundred twenty-four thousand, three hundred forty".