506915328 has 80 divisors (see below), whose sum is σ = 1355466816. Its totient is φ = 168345600.

The previous prime is 506915323. The next prime is 506915359. The reversal of 506915328 is 823519605.

It is a super-2 number, since 2×506915328² = 513926299522695168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (506915323) by changing a digit.

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, 615525 + ... + 616347.

Almost surely, 2^506915328 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 506915328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677733408).

506915328 is an abundant number, since it is smaller than the sum of its proper divisors (848551488).

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

506915328 is an equidigital number, since it uses as much as digits as its factorization.

506915328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 506915328 is about 22514.7802121184. The cubic root of 506915328 is about 797.3429179978.

The spelling of 506915328 in words is "five hundred six million, nine hundred fifteen thousand, three hundred twenty-eight".