505034144 has 48 divisors (see below), whose sum is σ = 1030288896. Its totient is φ = 243436800.

The previous prime is 505034143. The next prime is 505034209. The reversal of 505034144 is 441430505.

It is not an unprimeable number, because it can be changed into a prime (505034143) 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, 307694 + ... + 309330.

It is an arithmetic number, because the mean of its divisors is an integer number (21464352).

Almost surely, 2^505034144 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 505034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515144448).

505034144 is an abundant number, since it is smaller than the sum of its proper divisors (525254752).

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

505034144 is a wasteful number, since it uses less digits than its factorization.

505034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 505034144 is about 22472.9647354327. The cubic root of 505034144 is about 796.3553710649.

Adding to 505034144 its reverse (441430505), we get a palindrome (946464649).

The spelling of 505034144 in words is "five hundred five million, thirty-four thousand, one hundred forty-four".