505314120 has 128 divisors (see below), whose sum is σ = 1689724800. Its totient is φ = 120139776.

The previous prime is 505314119. The next prime is 505314127. The reversal of 505314120 is 21413505.

It is not an unprimeable number, because it can be changed into a prime (505314127) 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, 32242 + ... + 45278.

It is an arithmetic number, because the mean of its divisors is an integer number (13200975).

Almost surely, 2^505314120 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 505314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844862400).

505314120 is an abundant number, since it is smaller than the sum of its proper divisors (1184410680).

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

505314120 is a wasteful number, since it uses less digits than its factorization.

505314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13087 (or 13083 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 505314120 is about 22479.1930460148. The cubic root of 505314120 is about 796.5025025053.

Adding to 505314120 its reverse (21413505), we get a palindrome (526727625).

The spelling of 505314120 in words is "five hundred five million, three hundred fourteen thousand, one hundred twenty".