516286432 has 48 divisors (see below), whose sum is σ = 1058463504. Its totient is φ = 247680000.

The previous prime is 516286357. The next prime is 516286469. The reversal of 516286432 is 234682615.

It is a junction number, because it is equal to n+sod(n) for n = 516286391 and 516286400.

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 7 ways as a sum of consecutive naturals, for example, 76807 + ... + 83257.

It is an arithmetic number, because the mean of its divisors is an integer number (22051323).

Almost surely, 2^516286432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516286432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529231752).

516286432 is an abundant number, since it is smaller than the sum of its proper divisors (542177072).

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

516286432 is a wasteful number, since it uses less digits than its factorization.

516286432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563 (or 6555 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 516286432 is about 22721.9372413533. The cubic root of 516286432 is about 802.2263153196.

The spelling of 516286432 in words is "five hundred sixteen million, two hundred eighty-six thousand, four hundred thirty-two".