505129680 has 480 divisors, whose sum is σ = 2005585920. Its totient is φ = 112696320.

The previous prime is 505129679. The next prime is 505129831. The reversal of 505129680 is 86921505.

It is a happy number.

505129680 is a `hidden beast` number, since 50 + 512 + 96 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8561491 + ... + 8561549.

It is an arithmetic number, because the mean of its divisors is an integer number (4178304).

Almost surely, 2^505129680 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 505129680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002792960).

505129680 is an abundant number, since it is smaller than the sum of its proper divisors (1500456240).

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

505129680 is a wasteful number, since it uses less digits than its factorization.

505129680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 505129680 is about 22475.0902111649. The cubic root of 505129680 is about 796.4055827260.

The spelling of 505129680 in words is "five hundred five million, one hundred twenty-nine thousand, six hundred eighty".