505723680 has 288 divisors, whose sum is σ = 2152096128. Its totient is φ = 105062400.

The previous prime is 505723661. The next prime is 505723709. The reversal of 505723680 is 86327505.

505723680 is a `hidden beast` number, since 5 + 0 + 572 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 108600 + ... + 113160.

It is an arithmetic number, because the mean of its divisors is an integer number (7472556).

Almost surely, 2^505723680 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 505723680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076048064).

505723680 is an abundant number, since it is smaller than the sum of its proper divisors (1646372448).

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

505723680 is a wasteful number, since it uses less digits than its factorization.

505723680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 505723680 is about 22488.3009584984. The cubic root of 505723680 is about 796.7176343467.

The spelling of 505723680 in words is "five hundred five million, seven hundred twenty-three thousand, six hundred eighty".