516123440 has 160 divisors (see below), whose sum is σ = 1444728960. Its totient is φ = 167731200.

The previous prime is 516123407. The next prime is 516123449. The reversal of 516123440 is 44321615.

It is not an unprimeable number, because it can be changed into a prime (516123449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990380 + ... + 990900.

It is an arithmetic number, because the mean of its divisors is an integer number (9029556).

Almost surely, 2^516123440 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 516123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722364480).

516123440 is an abundant number, since it is smaller than the sum of its proper divisors (928605520).

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

516123440 is a wasteful number, since it uses less digits than its factorization.

516123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 516123440 is about 22718.3502922197. The cubic root of 516123440 is about 802.1418852914.

The spelling of 516123440 in words is "five hundred sixteen million, one hundred twenty-three thousand, four hundred forty".