515420320 has 48 divisors (see below), whose sum is σ = 1222276608. Its totient is φ = 205390080.

The previous prime is 515420309. The next prime is 515420341. The reversal of 515420320 is 23024515.

It is a junction number, because it is equal to n+sod(n) for n = 515420291 and 515420300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37417 + ... + 49303.

It is an arithmetic number, because the mean of its divisors is an integer number (25464096).

Almost surely, 2^515420320 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 515420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611138304).

515420320 is an abundant number, since it is smaller than the sum of its proper divisors (706856288).

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

515420320 is a wasteful number, since it uses less digits than its factorization.

515420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12173 (or 12165 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 515420320 is about 22702.8703031137. The cubic root of 515420320 is about 801.7774645167. Note that the first 3 decimals are identical.

Adding to 515420320 its reverse (23024515), we get a palindrome (538444835).

The spelling of 515420320 in words is "five hundred fifteen million, four hundred twenty thousand, three hundred twenty".