505303936 has 64 divisors (see below), whose sum is σ = 1066654800. Its totient is φ = 237772800.

The previous prime is 505303921. The next prime is 505303949. The reversal of 505303936 is 639303505.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420136 + ... + 421336.

Almost surely, 2^505303936 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 505303936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533327400).

505303936 is an abundant number, since it is smaller than the sum of its proper divisors (561350864).

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

505303936 is a wasteful number, since it uses less digits than its factorization.

505303936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 34.

The square root of 505303936 is about 22478.9665242867. The cubic root of 505303936 is about 796.4971516185.

The spelling of 505303936 in words is "five hundred five million, three hundred three thousand, nine hundred thirty-six".