505322820 has 96 divisors (see below), whose sum is σ = 1582035840. Its totient is φ = 133902720.

The previous prime is 505322813. The next prime is 505322821. The reversal of 505322820 is 28223505.

505322820 is a `hidden beast` number, since 50 + 532 + 2 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (505322821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85150 + ... + 90890.

It is an arithmetic number, because the mean of its divisors is an integer number (16479540).

Almost surely, 2^505322820 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 505322820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791017920).

505322820 is an abundant number, since it is smaller than the sum of its proper divisors (1076713020).

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

505322820 is a wasteful number, since it uses less digits than its factorization.

505322820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5922 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 505322820 is about 22479.3865574664. The cubic root of 505322820 is about 796.5070736105.

The spelling of 505322820 in words is "five hundred five million, three hundred twenty-two thousand, eight hundred twenty".