505669164 has 288 divisors, whose sum is σ = 1651668480. Its totient is φ = 117089280.

The previous prime is 505669163. The next prime is 505669181. The reversal of 505669164 is 461966505.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505669163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5681632 + ... + 5681720.

It is an arithmetic number, because the mean of its divisors is an integer number (5734960).

Almost surely, 2^505669164 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 505669164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825834240).

505669164 is an abundant number, since it is smaller than the sum of its proper divisors (1145999316).

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

505669164 is a wasteful number, since it uses less digits than its factorization.

505669164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 505669164 is about 22487.0888289258. The cubic root of 505669164 is about 796.6890051294.

The spelling of 505669164 in words is "five hundred five million, six hundred sixty-nine thousand, one hundred sixty-four".