505002820 has 72 divisors (see below), whose sum is σ = 1245875904. Its totient is φ = 171428544.

The previous prime is 505002791. The next prime is 505002877. The reversal of 505002820 is 28200505.

It is a junction number, because it is equal to n+sod(n) for n = 505002791 and 505002800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98439 + ... + 103441.

It is an arithmetic number, because the mean of its divisors is an integer number (17303832).

Almost surely, 2^505002820 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 505002820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622937952).

505002820 is an abundant number, since it is smaller than the sum of its proper divisors (740873084).

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

505002820 is a wasteful number, since it uses less digits than its factorization.

505002820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5129 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 505002820 is about 22472.2677983331. The cubic root of 505002820 is about 796.3389064676.

The spelling of 505002820 in words is "five hundred five million, two thousand, eight hundred twenty".