505836320 has 96 divisors (see below), whose sum is σ = 1312246656. Its totient is φ = 182732800.

The previous prime is 505836319. The next prime is 505836337. The reversal of 505836320 is 23638505.

It is a super-2 number, since 2×505836320² = 511740765262284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 293060 + ... + 294780.

It is an arithmetic number, because the mean of its divisors is an integer number (13669236).

Almost surely, 2^505836320 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 505836320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656123328).

505836320 is an abundant number, since it is smaller than the sum of its proper divisors (806410336).

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

505836320 is a wasteful number, since it uses less digits than its factorization.

505836320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 505836320 is about 22490.8052323611. The cubic root of 505836320 is about 796.7767810151.

The spelling of 505836320 in words is "five hundred five million, eight hundred thirty-six thousand, three hundred twenty".