503821920 has 288 divisors, whose sum is σ = 1908458496. Its totient is φ = 111283200.

The previous prime is 503821909. The next prime is 503821921. The reversal of 503821920 is 29128305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503821921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728775 + ... + 729465.

It is an arithmetic number, because the mean of its divisors is an integer number (6626592).

Almost surely, 2^503821920 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 503821920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954229248).

503821920 is an abundant number, since it is smaller than the sum of its proper divisors (1404636576).

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

503821920 is a wasteful number, since it uses less digits than its factorization.

503821920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 503821920 is about 22445.9778134079. The cubic root of 503821920 is about 795.7177016348.

The spelling of 503821920 in words is "five hundred three million, eight hundred twenty-one thousand, nine hundred twenty".