516746000 has 40 divisors (see below), whose sum is σ = 1249496664. Its totient is φ = 206697600.

The previous prime is 516745987. The next prime is 516746003. The reversal of 516746000 is 647615.

It can be written as a sum of positive squares in 4 ways, for example, as 50013184 + 466732816 = 7072^2 + 21604^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (516746003) 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, 127187 + ... + 131186.

Almost surely, 2^516746000 is an apocalyptic number.

516746000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

516746000 is an abundant number, since it is smaller than the sum of its proper divisors (732750664).

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

516746000 is a wasteful number, since it uses less digits than its factorization.

516746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258396 (or 258380 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 516746000 is about 22732.0478619943. The cubic root of 516746000 is about 802.4642763833.

The spelling of 516746000 in words is "five hundred sixteen million, seven hundred forty-six thousand".