505648980 has 168 divisors, whose sum is σ = 1615891200. Its totient is φ = 132829632.

The previous prime is 505648963. The next prime is 505648981. The reversal of 505648980 is 89846505.

505648980 is a `hidden beast` number, since 5 + 0 + 564 + 8 + 9 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505648981) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1151601 + ... + 1152039.

It is an arithmetic number, because the mean of its divisors is an integer number (9618400).

Almost surely, 2^505648980 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 505648980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807945600).

505648980 is an abundant number, since it is smaller than the sum of its proper divisors (1110242220).

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

505648980 is a wasteful number, since it uses less digits than its factorization.

505648980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 505648980 is about 22486.6400335844. The cubic root of 505648980 is about 796.6784049281.

The spelling of 505648980 in words is "five hundred five million, six hundred forty-eight thousand, nine hundred eighty".