506301680 has 20 divisors (see below), whose sum is σ = 1177151592. Its totient is φ = 202520640.

The previous prime is 506301659. The next prime is 506301689. The reversal of 506301680 is 86103605.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506301689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3164306 + ... + 3164465.

Almost surely, 2^506301680 is an apocalyptic number.

It is an amenable number.

506301680 is an abundant number, since it is smaller than the sum of its proper divisors (670849912).

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

506301680 is a wasteful number, since it uses less digits than its factorization.

506301680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6328784 (or 6328778 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 506301680 is about 22501.1484151365. The cubic root of 506301680 is about 797.0210460604.

The spelling of 506301680 in words is "five hundred six million, three hundred one thousand, six hundred eighty".