505534880 has 48 divisors (see below), whose sum is σ = 1204938504. Its totient is φ = 200417280.

The previous prime is 505534849. The next prime is 505534889. The reversal of 505534880 is 88435505.

It can be written as a sum of positive squares in 4 ways, for example, as 180526096 + 325008784 = 13436^2 + 18028^2 .

It is a super-2 number, since 2×505534880² = 511131029793228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505534889) 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 7 ways as a sum of consecutive naturals, for example, 4100 + ... + 32060.

Almost surely, 2^505534880 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 505534880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602469252).

505534880 is an abundant number, since it is smaller than the sum of its proper divisors (699403624).

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

505534880 is a wasteful number, since it uses less digits than its factorization.

505534880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28089 (or 28081 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

The square root of 505534880 is about 22484.1028284430. The cubic root of 505534880 is about 796.6184767647.

The spelling of 505534880 in words is "five hundred five million, five hundred thirty-four thousand, eight hundred eighty".