506336000 has 72 divisors (see below), whose sum is σ = 1261425984. Its totient is φ = 202521600.

The previous prime is 506335987. The next prime is 506336057. The reversal of 506336000 is 633605.

It is a super-2 number, since 2×506336000² = 512752289792000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24089 + ... + 39911.

Almost surely, 2^506336000 is an apocalyptic number.

506336000 is a gapful number since it is divisible by the number (50) 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 506336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630712992).

506336000 is an abundant number, since it is smaller than the sum of its proper divisors (755089984).

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

506336000 is an equidigital number, since it uses as much as digits as its factorization.

506336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15854 (or 15830 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 506336000 is about 22501.9110299548. The cubic root of 506336000 is about 797.0390545228.

Adding to 506336000 its reverse (633605), we get a palindrome (506969605).

The spelling of 506336000 in words is "five hundred six million, three hundred thirty-six thousand".