516432 has 80 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 139776.

The previous prime is 516431. The next prime is 516433. The reversal of 516432 is 234615.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (516431) and next prime (516433).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 516399 and 516408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9718 + ... + 9770.

It is an arithmetic number, because the mean of its divisors is an integer number (20088).

2⁵¹⁶⁴³² 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 516432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520).

516432 is an abundant number, since it is smaller than the sum of its proper divisors (1090608).

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

516432 is a wasteful number, since it uses less digits than its factorization.

516432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 94 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 516432 is about 718.6320337975. The cubic root of 516432 is about 80.2301704677.

The spelling of 516432 in words is "five hundred sixteen thousand, four hundred thirty-two".