505303272 has 80 divisors (see below), whose sum is σ = 1442119140. Its totient is φ = 165245184.

The previous prime is 505303243. The next prime is 505303283. The reversal of 505303272 is 272303505.

It can be written as a sum of positive squares in 2 ways, for example, as 476723556 + 28579716 = 21834^2 + 5346^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26988 + ... + 41700.

Almost surely, 2^505303272 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 505303272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721059570).

505303272 is an abundant number, since it is smaller than the sum of its proper divisors (936815868).

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

505303272 is a wasteful number, since it uses less digits than its factorization.

505303272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14784 (or 14771 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 505303272 is about 22478.9517549195. The cubic root of 505303272 is about 796.4968027365.

Adding to 505303272 its reverse (272303505), we get a palindrome (777606777).

The spelling of 505303272 in words is "five hundred five million, three hundred three thousand, two hundred seventy-two".