505059660 has 216 divisors, whose sum is σ = 1797855696. Its totient is φ = 114428160.

The previous prime is 505059649. The next prime is 505059673. The reversal of 505059660 is 66950505.

505059660 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 596 + 60 = 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 71 ways as a sum of consecutive naturals, for example, 1525695 + ... + 1526025.

It is an arithmetic number, because the mean of its divisors is an integer number (8323406).

Almost surely, 2^505059660 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 505059660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898927848).

505059660 is an abundant number, since it is smaller than the sum of its proper divisors (1292796036).

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

505059660 is a wasteful number, since it uses less digits than its factorization.

505059660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 505059660 is about 22473.5324326195. The cubic root of 505059660 is about 796.3687823439.

The spelling of 505059660 in words is "five hundred five million, fifty-nine thousand, six hundred sixty".