506656320 has 112 divisors (see below), whose sum is σ = 1614757248. Its totient is φ = 134594560.

The previous prime is 506656313. The next prime is 506656327. The reversal of 506656320 is 23656605.

It is an interprime number because it is at equal distance from previous prime (506656313) and next prime (506656327).

It is not an unprimeable number, because it can be changed into a prime (506656327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297712 + ... + 299408.

Almost surely, 2^506656320 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 506656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807378624).

506656320 is an abundant number, since it is smaller than the sum of its proper divisors (1108100928).

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

506656320 is a wasteful number, since it uses less digits than its factorization.

506656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 506656320 is about 22509.0275223076. The cubic root of 506656320 is about 797.2070942770.

The spelling of 506656320 in words is "five hundred six million, six hundred fifty-six thousand, three hundred twenty".