505303120 has 80 divisors (see below), whose sum is σ = 1348270848. Its totient is φ = 172523520.

The previous prime is 505303111. The next prime is 505303129. The reversal of 505303120 is 21303505.

It is an interprime number because it is at equal distance from previous prime (505303111) and next prime (505303129).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505303129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142165 + ... + 145675.

Almost surely, 2^505303120 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 505303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674135424).

505303120 is an abundant number, since it is smaller than the sum of its proper divisors (842967728).

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

505303120 is a wasteful number, since it uses less digits than its factorization.

505303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 505303120 is about 22478.9483739787. The cubic root of 505303120 is about 796.4967228719.

Adding to 505303120 its reverse (21303505), we get a palindrome (526606625).

The spelling of 505303120 in words is "five hundred five million, three hundred three thousand, one hundred twenty".