505307320 has 128 divisors (see below), whose sum is σ = 1393459200. Its totient is φ = 160966656.

The previous prime is 505307317. The next prime is 505307357. The reversal of 505307320 is 23703505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394441 + ... + 395719.

It is an arithmetic number, because the mean of its divisors is an integer number (10886400).

Almost surely, 2^505307320 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 505307320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696729600).

505307320 is an abundant number, since it is smaller than the sum of its proper divisors (888151880).

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

505307320 is a wasteful number, since it uses less digits than its factorization.

505307320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 25.

The square root of 505307320 is about 22479.0417945250. The cubic root of 505307320 is about 796.4989296509.

The spelling of 505307320 in words is "five hundred five million, three hundred seven thousand, three hundred twenty".