505347072 has 88 divisors (see below), whose sum is σ = 1355932800. Its totient is φ = 167325696.

The previous prime is 505347071. The next prime is 505347079. The reversal of 505347072 is 270743505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505347071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 549429 + ... + 550347.

Almost surely, 2^505347072 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 505347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677966400).

505347072 is an abundant number, since it is smaller than the sum of its proper divisors (850585728).

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

505347072 is a wasteful number, since it uses less digits than its factorization.

505347072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 505347072 is about 22479.9259785258. The cubic root of 505347072 is about 796.5198156833.

It can be divided in two parts, 5053 and 47072, that added together give a palindrome (52125).

The spelling of 505347072 in words is "five hundred five million, three hundred forty-seven thousand, seventy-two".