516420 has 72 divisors (see below), whose sum is σ = 1659840. Its totient is φ = 129600.

The previous prime is 516407. The next prime is 516421. The reversal of 516420 is 24615.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 516393 and 516402.

It is not an unprimeable number, because it can be changed into a prime (516421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3345 + ... + 3495.

2⁵¹⁶⁴²⁰ 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 516420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829920).

516420 is an abundant number, since it is smaller than the sum of its proper divisors (1143420).

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

516420 is a wasteful number, since it uses less digits than its factorization.

516420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 516420 is about 718.6236845526. The cubic root of 516420 is about 80.2295490438.

It can be divided in two parts, 5164 and 20, that added together give a square (5184 = 72²).

The spelling of 516420 in words is "five hundred sixteen thousand, four hundred twenty".