505306368 has 432 divisors, whose sum is σ = 1874920320. Its totient is φ = 127401984.

The previous prime is 505306367. The next prime is 505306369. The reversal of 505306368 is 863603505.

505306368 is a `hidden beast` number, since 5 + 0 + 530 + 63 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (505306367) and next prime (505306369).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505306367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5209296 + ... + 5209392.

Almost surely, 2^505306368 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 505306368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937460160).

505306368 is an abundant number, since it is smaller than the sum of its proper divisors (1369613952).

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

505306368 is a wasteful number, since it uses less digits than its factorization.

505306368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 505306368 is about 22479.0206192352. The cubic root of 505306368 is about 796.4984294487.

The spelling of 505306368 in words is "five hundred five million, three hundred six thousand, three hundred sixty-eight".