515528940 has 96 divisors (see below), whose sum is σ = 1510488000. Its totient is φ = 131203072.

The previous prime is 515528929. The next prime is 515528971. The reversal of 515528940 is 49825515.

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 31 ways as a sum of consecutive naturals, for example, 153196 + ... + 156524.

It is an arithmetic number, because the mean of its divisors is an integer number (15734250).

Almost surely, 2^515528940 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 515528940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755244000).

515528940 is an abundant number, since it is smaller than the sum of its proper divisors (994959060).

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

515528940 is a wasteful number, since it uses less digits than its factorization.

515528940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The square root of 515528940 is about 22705.2623856233. The cubic root of 515528940 is about 801.8337829218.

The spelling of 515528940 in words is "five hundred fifteen million, five hundred twenty-eight thousand, nine hundred forty".