505347232 has 48 divisors (see below), whose sum is σ = 1087484832. Its totient is φ = 229743360.

The previous prime is 505347211. The next prime is 505347239. The reversal of 505347232 is 232743505.

It is a junction number, because it is equal to n+sod(n) for n = 505347194 and 505347203.

It is not an unprimeable number, because it can be changed into a prime (505347239) 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, 18807 + ... + 36937.

It is an arithmetic number, because the mean of its divisors is an integer number (22655934).

Almost surely, 2^505347232 is an apocalyptic number.

505347232 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505347232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543742416).

505347232 is an abundant number, since it is smaller than the sum of its proper divisors (582137600).

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

505347232 is a wasteful number, since it uses less digits than its factorization.

505347232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18221 (or 18213 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 31.

The square root of 505347232 is about 22479.9295372561. The cubic root of 505347232 is about 796.5198997464.

It can be divided in two parts, 5053472 and 32, that added together give a square (5053504 = 2248²).

The spelling of 505347232 in words is "five hundred five million, three hundred forty-seven thousand, two hundred thirty-two".