516490000 has 200 divisors, whose sum is σ = 1403269560. Its totient is φ = 182784000.

The previous prime is 516489991. The next prime is 516490019. The reversal of 516490000 is 94615.

It can be written as a sum of positive squares in 20 ways, for example, as 516016656 + 473344 = 22716^2 + 688^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×516490000³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3769932 + ... + 3770068.

Almost surely, 2^516490000 is an apocalyptic number.

516490000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701634780).

516490000 is an abundant number, since it is smaller than the sum of its proper divisors (886779560).

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

516490000 is a wasteful number, since it uses less digits than its factorization.

516490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 516490000 is about 22726.4163475019. The cubic root of 516490000 is about 802.3317388064.

The spelling of 516490000 in words is "five hundred sixteen million, four hundred ninety thousand".