506455680 has 256 divisors, whose sum is σ = 1704591360. Its totient is φ = 127733760.

The previous prime is 506455643. The next prime is 506455693. The reversal of 506455680 is 86554605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3987777 + ... + 3987903.

It is an arithmetic number, because the mean of its divisors is an integer number (6658560).

Almost surely, 2^506455680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852295680).

506455680 is an abundant number, since it is smaller than the sum of its proper divisors (1198135680).

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

506455680 is a wasteful number, since it uses less digits than its factorization.

506455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 506455680 is about 22504.5702025166. The cubic root of 506455680 is about 797.1018468974.

The spelling of 506455680 in words is "five hundred six million, four hundred fifty-five thousand, six hundred eighty".