516309040 has 320 divisors, whose sum is σ = 1518652800. Its totient is φ = 161021952.

The previous prime is 516309029. The next prime is 516309043. The reversal of 516309040 is 40903615.

It is not an unprimeable number, because it can be changed into a prime (516309043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9741654 + ... + 9741706.

It is an arithmetic number, because the mean of its divisors is an integer number (4745790).

Almost surely, 2^516309040 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 516309040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759326400).

516309040 is an abundant number, since it is smaller than the sum of its proper divisors (1002343760).

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

516309040 is a wasteful number, since it uses less digits than its factorization.

516309040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 516309040 is about 22722.4347286993. The cubic root of 516309040 is about 802.2380248840.

The spelling of 516309040 in words is "five hundred sixteen million, three hundred nine thousand, forty".