516938240 has 240 divisors, whose sum is σ = 1557603432. Its totient is φ = 163086336.

The previous prime is 516938221. The next prime is 516938243. The reversal of 516938240 is 42839615.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 183656704 + 333281536 = 13552^2 + 18256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 516938194 and 516938203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516938243) 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, 1630562 + ... + 1630878.

Almost surely, 2^516938240 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 516938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778801716).

516938240 is an abundant number, since it is smaller than the sum of its proper divisors (1040665192).

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

516938240 is a wasteful number, since it uses less digits than its factorization.

516938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 516938240 is about 22736.2758603954. The cubic root of 516938240 is about 802.5637750451.

The spelling of 516938240 in words is "five hundred sixteen million, nine hundred thirty-eight thousand, two hundred forty".