516928940 has 72 divisors (see below), whose sum is σ = 1199738736. Its totient is φ = 186947200.

The previous prime is 516928931. The next prime is 516928949. The reversal of 516928940 is 49829615.

It is an interprime number because it is at equal distance from previous prime (516928931) and next prime (516928949).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 516928891 and 516928900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516928949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548870 + ... + 549810.

It is an arithmetic number, because the mean of its divisors is an integer number (16663038).

Almost surely, 2^516928940 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 516928940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599869368).

516928940 is an abundant number, since it is smaller than the sum of its proper divisors (682809796).

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

516928940 is a wasteful number, since it uses less digits than its factorization.

516928940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 516928940 is about 22736.0713404933. The cubic root of 516928940 is about 802.5589621633.

The spelling of 516928940 in words is "five hundred sixteen million, nine hundred twenty-eight thousand, nine hundred forty".