505321320 has 128 divisors (see below), whose sum is σ = 1768032000. Its totient is φ = 115492608.

The previous prime is 505321319. The next prime is 505321343. The reversal of 505321320 is 23123505.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 35022 + ... + 47298.

It is an arithmetic number, because the mean of its divisors is an integer number (13812750).

Almost surely, 2^505321320 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 505321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884016000).

505321320 is an abundant number, since it is smaller than the sum of its proper divisors (1262710680).

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

505321320 is a wasteful number, since it uses less digits than its factorization.

505321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12312 (or 12294 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 505321320 is about 22479.3531935418. The cubic root of 505321320 is about 796.5062854926.

Adding to 505321320 its reverse (23123505), we get a palindrome (528444825).

The spelling of 505321320 in words is "five hundred five million, three hundred twenty-one thousand, three hundred twenty".