503805952 has 96 divisors (see below), whose sum is σ = 1100736000. Its totient is φ = 229146624.

The previous prime is 503805947. The next prime is 503805977. The reversal of 503805952 is 259508305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3381174 + ... + 3381322.

It is an arithmetic number, because the mean of its divisors is an integer number (11466000).

Almost surely, 2^503805952 is an apocalyptic number.

503805952 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 503805952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368000).

503805952 is an abundant number, since it is smaller than the sum of its proper divisors (596930048).

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

503805952 is a wasteful number, since it uses less digits than its factorization.

503805952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The square root of 503805952 is about 22445.6221121180. The cubic root of 503805952 is about 795.7092951232.

The spelling of 503805952 in words is "five hundred three million, eight hundred five thousand, nine hundred fifty-two".