506644656 has 160 divisors (see below), whose sum is σ = 1560281088. Its totient is φ = 138620160.

The previous prime is 506644639. The next prime is 506644657. The reversal of 506644656 is 656446605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (506644657) 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 31 ways as a sum of consecutive naturals, for example, 1322641 + ... + 1323023.

Almost surely, 2^506644656 is an apocalyptic number.

506644656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506644656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780140544).

506644656 is an abundant number, since it is smaller than the sum of its proper divisors (1053636432).

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

506644656 is a wasteful number, since it uses less digits than its factorization.

506644656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 506644656 is about 22508.7684247717. The cubic root of 506644656 is about 797.2009765896.

The spelling of 506644656 in words is "five hundred six million, six hundred forty-four thousand, six hundred fifty-six".