506452644 has 36 divisors (see below), whose sum is σ = 1355507244. Its totient is φ = 158886912.

The previous prime is 506452613. The next prime is 506452649. The reversal of 506452644 is 446254605.

506452644 is a `hidden beast` number, since 5 + 0 + 6 + 4 + 5 + 2 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 286286400 + 220166244 = 16920^2 + 14838^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×506452644² = 512988561229181472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 506452599 and 506452608.

It is not an unprimeable number, because it can be changed into a prime (506452649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413157 + ... + 414380.

It is an arithmetic number, because the mean of its divisors is an integer number (37652979).

Almost surely, 2^506452644 is an apocalyptic number.

It is an amenable number.

506452644 is an abundant number, since it is smaller than the sum of its proper divisors (849054600).

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

506452644 is a wasteful number, since it uses less digits than its factorization.

506452644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827564 (or 827559 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 506452644 is about 22504.5027494499. The cubic root of 506452644 is about 797.1002541249.

The spelling of 506452644 in words is "five hundred six million, four hundred fifty-two thousand, six hundred forty-four".