505665144 has 48 divisors (see below), whose sum is σ = 1370850000. Its totient is φ = 168390144.

The previous prime is 505665091. The next prime is 505665217. The reversal of 505665144 is 441566505.

505665144 is a `hidden beast` number, since 5 + 0 + 566 + 51 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 505665099 and 505665108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87117 + ... + 92739.

It is an arithmetic number, because the mean of its divisors is an integer number (28559375).

Almost surely, 2^505665144 is an apocalyptic number.

It is an amenable number.

505665144 is an abundant number, since it is smaller than the sum of its proper divisors (865184856).

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

505665144 is a wasteful number, since it uses less digits than its factorization.

505665144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884 (or 6877 counting only the distinct ones).

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

The square root of 505665144 is about 22486.9994441233. Note that the first 3 decimals coincide. The cubic root of 505665144 is about 796.6868939347.

The spelling of 505665144 in words is "five hundred five million, six hundred sixty-five thousand, one hundred forty-four".