506560000 has 100 divisors (see below), whose sum is σ = 1265557392. Its totient is φ = 202496000.

The previous prime is 506559979. The next prime is 506560001. The reversal of 506560000 is 65605.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506560001) 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 9 ways as a sum of consecutive naturals, for example, 319209 + ... + 320791.

Almost surely, 2^506560000 is an apocalyptic number.

506560000 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 506560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632778696).

506560000 is an abundant number, since it is smaller than the sum of its proper divisors (758997392).

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

506560000 is an frugal number, since it uses more digits than its factorization.

506560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 506560000 is about 22506.8878346163. The cubic root of 506560000 is about 797.1565722888.

The spelling of 506560000 in words is "five hundred six million, five hundred sixty thousand".