516306420 has 192 divisors, whose sum is σ = 1851010560. Its totient is φ = 117033984.

The previous prime is 516306419. The next prime is 516306431. The reversal of 516306420 is 24603615.

516306420 is a `hidden beast` number, since 5 + 1 + 630 + 6 + 4 + 20 = 666.

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 63 ways as a sum of consecutive naturals, for example, 517362 + ... + 518358.

It is an arithmetic number, because the mean of its divisors is an integer number (9640680).

Almost surely, 2^516306420 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 516306420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925505280).

516306420 is an abundant number, since it is smaller than the sum of its proper divisors (1334704140).

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

516306420 is a wasteful number, since it uses less digits than its factorization.

516306420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 516306420 is about 22722.3770763536. The cubic root of 516306420 is about 802.2366679014.

It can be divided in two parts, 516 and 306420, that added together give a triangular number (306936 = T₇₈₃).

The spelling of 516306420 in words is "five hundred sixteen million, three hundred six thousand, four hundred twenty".