505435680 has 192 divisors, whose sum is σ = 1792627200. Its totient is φ = 132986880.

The previous prime is 505435673. The next prime is 505435757. The reversal of 505435680 is 86534505.

505435680 is a `hidden beast` number, since 50 + 5 + 43 + 568 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 340540 + ... + 342020.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2^505435680 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 505435680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896313600).

505435680 is an abundant number, since it is smaller than the sum of its proper divisors (1287191520).

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

505435680 is a wasteful number, since it uses less digits than its factorization.

505435680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 505435680 is about 22481.8967171367. The cubic root of 505435680 is about 796.5663671243.

The spelling of 505435680 in words is "five hundred five million, four hundred thirty-five thousand, six hundred eighty".