505666224 has 240 divisors, whose sum is σ = 1788314112. Its totient is φ = 129964032.

The previous prime is 505666177. The next prime is 505666237. The reversal of 505666224 is 422666505.

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 47 ways as a sum of consecutive naturals, for example, 393487 + ... + 394769.

Almost surely, 2^505666224 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 505666224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894157056).

505666224 is an abundant number, since it is smaller than the sum of its proper divisors (1282647888).

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

505666224 is a wasteful number, since it uses less digits than its factorization.

505666224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 505666224 is about 22487.0234579857. The cubic root of 505666224 is about 796.6874611224.

The spelling of 505666224 in words is "five hundred five million, six hundred sixty-six thousand, two hundred twenty-four".