516400007 has 8 divisors (see below), whose sum is σ = 548226000. Its totient is φ = 484735104.

The previous prime is 516399941. The next prime is 516400019. The reversal of 516400007 is 700004615.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 516400007 - 2¹⁰ = 516398983 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516400057) 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 7 ways as a sum of consecutive naturals, for example, 33632 + ... + 46517.

It is an arithmetic number, because the mean of its divisors is an integer number (68528250).

Almost surely, 2^516400007 is an apocalyptic number.

516400007 is a deficient number, since it is larger than the sum of its proper divisors (31825993).

516400007 is a wasteful number, since it uses less digits than its factorization.

516400007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80545.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 516400007 is about 22724.4363406444. The cubic root of 516400007 is about 802.2851367849.

The spelling of 516400007 in words is "five hundred sixteen million, four hundred thousand, seven".