506655264 has 96 divisors (see below), whose sum is σ = 1361162880. Its totient is φ = 164966400.

The previous prime is 506655257. The next prime is 506655269. The reversal of 506655264 is 462556605.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (506655269) 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 15 ways as a sum of consecutive naturals, for example, 1411117 + ... + 1411475.

It is an arithmetic number, because the mean of its divisors is an integer number (14178780).

Almost surely, 2^506655264 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 506655264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680581440).

506655264 is an abundant number, since it is smaller than the sum of its proper divisors (854507616).

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

506655264 is a wasteful number, since it uses less digits than its factorization.

506655264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The square root of 506655264 is about 22509.0040650403. The cubic root of 506655264 is about 797.2065404162.

The spelling of 506655264 in words is "five hundred six million, six hundred fifty-five thousand, two hundred sixty-four".