505806336 has 160 divisors (see below), whose sum is σ = 1711438080. Its totient is φ = 144488448.

The previous prime is 505806311. The next prime is 505806337. The reversal of 505806336 is 633608505.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 505806336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505806337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94155 + ... + 99381.

It is an arithmetic number, because the mean of its divisors is an integer number (10696488).

Almost surely, 2^505806336 is an apocalyptic number.

505806336 is a gapful number since it is divisible by the number (56) 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 505806336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855719040).

505806336 is an abundant number, since it is smaller than the sum of its proper divisors (1205631744).

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

505806336 is an equidigital number, since it uses as much as digits as its factorization.

505806336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5261 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 505806336 is about 22490.1386389680. The cubic root of 505806336 is about 796.7610374329.

The spelling of 505806336 in words is "five hundred five million, eight hundred six thousand, three hundred thirty-six".