505093680 has 360 divisors, whose sum is σ = 2102731488. Its totient is φ = 106389504.

The previous prime is 505093669. The next prime is 505093703. The reversal of 505093680 is 86390505.

505093680 is a `hidden beast` number, since 505 + 0 + 93 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 851464 + ... + 852056.

Almost surely, 2^505093680 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 505093680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051365744).

505093680 is an abundant number, since it is smaller than the sum of its proper divisors (1597637808).

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

505093680 is a wasteful number, since it uses less digits than its factorization.

505093680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 505093680 is about 22474.2893102318. The cubic root of 505093680 is about 796.3866626459.

The spelling of 505093680 in words is "five hundred five million, ninety-three thousand, six hundred eighty".