516336240 has 320 divisors, whose sum is σ = 1967016960. Its totient is φ = 109363200.

The previous prime is 516336193. The next prime is 516336307. The reversal of 516336240 is 42633615.

It is a super-2 number, since 2×516336240² = 533206225474675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 516336198 and 516336207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2884471 + ... + 2884649.

It is an arithmetic number, because the mean of its divisors is an integer number (6146928).

Almost surely, 2^516336240 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 516336240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983508480).

516336240 is an abundant number, since it is smaller than the sum of its proper divisors (1450680720).

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

516336240 is a wasteful number, since it uses less digits than its factorization.

516336240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 516336240 is about 22723.0332482263. The cubic root of 516336240 is about 802.2521123713.

Adding to 516336240 its reverse (42633615), we get a palindrome (558969855).

The spelling of 516336240 in words is "five hundred sixteen million, three hundred thirty-six thousand, two hundred forty".