516483000 has 512 divisors, whose sum is σ = 2048716800. Its totient is φ = 119232000.

The previous prime is 516482969. The next prime is 516483017. The reversal of 516483000 is 384615.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 10988977 + ... + 10989023.

It is an arithmetic number, because the mean of its divisors is an integer number (4001400).

Almost surely, 2^516483000 is an apocalyptic number.

516483000 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 516483000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024358400).

516483000 is an abundant number, since it is smaller than the sum of its proper divisors (1532233800).

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

516483000 is a wasteful number, since it uses less digits than its factorization.

516483000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 516483000 is about 22726.2623411770. The cubic root of 516483000 is about 802.3281141169.

The spelling of 516483000 in words is "five hundred sixteen million, four hundred eighty-three thousand".