516371856 has 240 divisors, whose sum is σ = 1806467712. Its totient is φ = 123678720.

The previous prime is 516371819. The next prime is 516371879. The reversal of 516371856 is 658173615.

It is a super-3 number, since 3×516371856³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528040 + ... + 529016.

Almost surely, 2^516371856 is an apocalyptic number.

516371856 is a gapful number since it is divisible by the number (56) 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 516371856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903233856).

516371856 is an abundant number, since it is smaller than the sum of its proper divisors (1290095856).

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

516371856 is a wasteful number, since it uses less digits than its factorization.

516371856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1013 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 516371856 is about 22723.8169329010. The cubic root of 516371856 is about 802.2705579449.

The spelling of 516371856 in words is "five hundred sixteen million, three hundred seventy-one thousand, eight hundred fifty-six".