516820434 has 96 divisors (see below), whose sum is σ = 1199451456. Its totient is φ = 147532800.

The previous prime is 516820433. The next prime is 516820439. The reversal of 516820434 is 434028615.

It is a junction number, because it is equal to n+sod(n) for n = 516820395 and 516820404.

It is not an unprimeable number, because it can be changed into a prime (516820433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2276629 + ... + 2276855.

It is an arithmetic number, because the mean of its divisors is an integer number (12494286).

Almost surely, 2^516820434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516820434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599725728).

516820434 is an abundant number, since it is smaller than the sum of its proper divisors (682631022).

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

516820434 is a wasteful number, since it uses less digits than its factorization.

516820434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 516820434 is about 22733.6850070551. The cubic root of 516820434 is about 802.5028045049.

The spelling of 516820434 in words is "five hundred sixteen million, eight hundred twenty thousand, four hundred thirty-four".