505541920 has 216 divisors, whose sum is σ = 1415064924. Its totient is φ = 169623552.

The previous prime is 505541887. The next prime is 505541921. The reversal of 505541920 is 29145505.

It can be written as a sum of positive squares in 18 ways, for example, as 1449616 + 504092304 = 1204^2 + 22452^2 .

It is not an unprimeable number, because it can be changed into a prime (505541921) 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 35 ways as a sum of consecutive naturals, for example, 17432466 + ... + 17432494.

Almost surely, 2^505541920 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 505541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707532462).

505541920 is an abundant number, since it is smaller than the sum of its proper divisors (909523004).

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

505541920 is a wasteful number, since it uses less digits than its factorization.

505541920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 505541920 is about 22484.2593829550. The cubic root of 505541920 is about 796.6221746091.

The spelling of 505541920 in words is "five hundred five million, five hundred forty-one thousand, nine hundred twenty".